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3412720512 = 27341013259
BaseRepresentation
bin1100101101101001…
…1111101110000000
322210211122011110000
43023122133232000
523442124024022
61322350240000
7150366434325
oct31332375600
98724564400
103412720512
1114a1434483
127b2ab6000
1342505aa66
1424535cb4c
1514e91b6ac
hexcb69fb80

3412720512 has 160 divisors (see below), whose sum is σ = 10259904600. Its totient is φ = 1125964800.

The previous prime is 3412720501. The next prime is 3412720517. The reversal of 3412720512 is 2150272143.

3412720512 is a `hidden beast` number, since 3 + 4 + 127 + 20 + 512 = 666.

It is a super-2 number, since 2×34127205122 = 23293322586051084288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412720517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1045539 + ... + 1048797.

Almost surely, 23412720512 is an apocalyptic number.

3412720512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129952300).

3412720512 is an abundant number, since it is smaller than the sum of its proper divisors (6847184088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3412720512 is a wasteful number, since it uses less digits than its factorization.

3412720512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3412720512 is about 58418.4946057325. The cubic root of 3412720512 is about 1505.5675334800.

Adding to 3412720512 its reverse (2150272143), we get a palindrome (5562992655).

The spelling of 3412720512 in words is "three billion, four hundred twelve million, seven hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 101 108 128 144 162 192 202 216 288 303 324 384 404 432 576 606 648 808 864 909 1152 1212 1296 1616 1728 1818 2424 2592 2727 3232 3259 3456 3636 4848 5184 5454 6464 6518 7272 8181 9696 9777 10368 10908 12928 13036 14544 16362 19392 19554 21816 26072 29088 29331 32724 38784 39108 43632 52144 58176 58662 65448 78216 87264 87993 104288 116352 117324 130896 156432 174528 175986 208576 234648 261792 263979 312864 329159 349056 351972 417152 469296 523584 527958 625728 658318 703944 938592 987477 1047168 1055916 1251456 1316636 1407888 1877184 1974954 2111832 2633272 2815776 2962431 3754368 3949908 4223664 5266544 5631552 5924862 7899816 8447328 8887293 10533088 11263104 11849724 15799632 16894656 17774586 21066176 23699448 26661879 31599264 33789312 35549172 42132352 47398896 53323758 63198528 71098344 94797792 106647516 126397056 142196688 189595584 213295032 284393376 379191168 426590064 568786752 853180128 1137573504 1706360256 3412720512