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3412011300 = 2235243594483
BaseRepresentation
bin1100101101011111…
…0010100100100100
322210210022010120220
43023113302210210
523441433330200
61322323124340
7150360421545
oct31327624444
98723263526
103412011300
1114a0a9a655
127b28136b0
13424b6ccc9
142452164cc
1514e82b4a0
hexcb5f2924

3412011300 has 144 divisors (see below), whose sum is σ = 10275175680. Its totient is φ = 873452160.

The previous prime is 3412011289. The next prime is 3412011319. The reversal of 3412011300 is 31102143.

3412011300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34120113002 = 23283642222655380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3412011300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 758859 + ... + 763341.

Almost surely, 23412011300 is an apocalyptic number.

3412011300 is a gapful number since it is divisible by the number (30) 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 3412011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137587840).

3412011300 is an abundant number, since it is smaller than the sum of its proper divisors (6863164380).

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

3412011300 is a wasteful number, since it uses less digits than its factorization.

3412011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3412011300 is about 58412.4241921186. The cubic root of 3412011300 is about 1505.4632334519.

Adding to 3412011300 its reverse (31102143), we get a palindrome (3443113443).

The spelling of 3412011300 in words is "three billion, four hundred twelve million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 59 60 75 86 100 118 129 150 172 177 215 236 258 295 300 354 430 516 590 645 708 860 885 1075 1180 1290 1475 1770 2150 2537 2580 2950 3225 3540 4300 4425 4483 5074 5900 6450 7611 8850 8966 10148 12685 12900 13449 15222 17700 17932 22415 25370 26898 30444 38055 44830 50740 53796 63425 67245 76110 89660 112075 126850 134490 152220 190275 192769 224150 253700 264497 268980 336225 380550 385538 448300 528994 578307 672450 761100 771076 793491 963845 1057988 1156614 1322485 1344900 1586982 1927690 2313228 2644970 2891535 3173964 3855380 3967455 4819225 5289940 5783070 6612425 7934910 9638450 11373371 11566140 13224850 14457675 15869820 19276900 19837275 22746742 26449700 28915350 34120113 39674550 45493484 56866855 57830700 68240226 79349100 113733710 136480452 170600565 227467420 284334275 341201130 568668550 682402260 853002825 1137337100 1706005650 3412011300