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339764868 = 22344125577
BaseRepresentation
bin10100010000000…
…110011010000100
3212200022211210000
4110100012122010
51143434433433
653414201300
711263645062
oct2420063204
9780284700
10339764868
11164874413
1295953230
1355511601
14331a5032
151ec66113
hex14406684

339764868 has 60 divisors (see below), whose sum is σ = 909911772. Its totient is φ = 110488320.

The previous prime is 339764863. The next prime is 339764869. The reversal of 339764868 is 868467933.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 324648324 = 3888^2 + 18018^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (339764863) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 496 + ... + 26072.

Almost surely, 2339764868 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 339764868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454955886).

339764868 is an abundant number, since it is smaller than the sum of its proper divisors (570146904).

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

339764868 is a wasteful number, since it uses less digits than its factorization.

339764868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25634 (or 25623 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 339764868 is about 18432.7119003146. The cubic root of 339764868 is about 697.7922743197.

It can be divided in two parts, 3397 and 64868, that added together give a triangular number (68265 = T369).

The spelling of 339764868 in words is "three hundred thirty-nine million, seven hundred sixty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 13284 25577 51154 76731 102308 153462 230193 306924 460386 690579 920772 1048657 1381158 2071737 2097314 2762316 3145971 4143474 4194628 6291942 8286948 9437913 12583884 18875826 28313739 37751652 56627478 84941217 113254956 169882434 339764868