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3412103240 = 2357213210301
BaseRepresentation
bin1100101101100000…
…1001000001001000
322210210110210201002
43023120021001020
523441444300430
61322325114132
7150361253600
oct31330110110
98723423632
103412103240
1114a1052737
127b2858948
13424ba2b00
1424523bc00
1514e848845
hexcb609048

3412103240 has 144 divisors (see below), whose sum is σ = 9671414580. Its totient is φ = 1079769600.

The previous prime is 3412103221. The next prime is 3412103243. The reversal of 3412103240 is 423012143.

It can be written as a sum of positive squares in 6 ways, for example, as 1145010244 + 2267092996 = 33838^2 + 47614^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3412103243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 326090 + ... + 336390.

Almost surely, 23412103240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835707290).

3412103240 is an abundant number, since it is smaller than the sum of its proper divisors (6259311340).

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

3412103240 is a wasteful number, since it uses less digits than its factorization.

3412103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10352 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3412103240 is about 58413.2111769247. The cubic root of 3412103240 is about 1505.4767553929.

Adding to 3412103240 its reverse (423012143), we get a palindrome (3835115383).

The spelling of 3412103240 in words is "three billion, four hundred twelve million, one hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 169 182 196 245 260 280 338 364 392 455 490 520 637 676 728 845 910 980 1183 1274 1352 1690 1820 1960 2366 2548 3185 3380 3640 4732 5096 5915 6370 6760 8281 9464 10301 11830 12740 16562 20602 23660 25480 33124 41204 41405 47320 51505 66248 72107 82408 82810 103010 133913 144214 165620 206020 267826 288428 331240 360535 412040 504749 535652 576856 669565 721070 937391 1009498 1071304 1339130 1442140 1740869 1874782 2018996 2523745 2678260 2884280 3481738 3749564 4037992 4686955 5047490 5356520 6561737 6963476 7499128 8704345 9373910 10094980 12186083 13123474 13926952 17408690 18747820 20189960 24372166 26246948 32808685 34817380 37495640 48744332 52493896 60930415 65617370 69634760 85302581 97488664 121860830 131234740 170605162 243721660 262469480 341210324 426512905 487443320 682420648 853025810 1706051620 3412103240