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3387938436 = 22328921092
BaseRepresentation
bin1100100111101111…
…1101011010000100
322202010000002211100
43021323331122010
523414303012221
61320103140100
7146646000351
oct31173753204
98663002740
103387938436
111489448323
127a6744630
1341cb91acc
14241d4b628
1514c673926
hexc9efd684

3387938436 has 81 divisors (see below), whose sum is σ = 8741450991. Its totient is φ = 1106379648.

The previous prime is 3387938417. The next prime is 3387938467. The reversal of 3387938436 is 6348397833.

The square root of 3387938436 is 58206.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 56340036 + 3331598400 = 7506^2 + 57720^2 .

It is a super-2 number, since 2×33879384362 = 22956253692252252192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31081950 + ... + 31082058.

Almost surely, 23387938436 is an apocalyptic number.

3387938436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3387938436 is the 58206-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3387938436

3387938436 is an abundant number, since it is smaller than the sum of its proper divisors (5353512555).

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

3387938436 is a wasteful number, since it uses less digits than its factorization.

3387938436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The cubic root of 3387938436 is about 1501.9143611083.

The spelling of 3387938436 in words is "three billion, three hundred eighty-seven million, nine hundred thirty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 109 178 218 267 327 356 436 534 654 801 981 1068 1308 1602 1962 3204 3924 7921 9701 11881 15842 19402 23762 23763 29103 31684 35643 38804 47524 47526 58206 71286 71289 87309 95052 106929 116412 142572 142578 174618 213858 285156 349236 427716 863389 1057409 1726778 2114818 2590167 3172227 3453556 4229636 5180334 6344454 7770501 9516681 10360668 12688908 15541002 19033362 31082004 38066724 94109401 188218802 282328203 376437604 564656406 846984609 1129312812 1693969218 3387938436