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339742976 = 2879107157
BaseRepresentation
bin10100010000000…
…001000100000000
3212200021201202012
4110100001010000
51143433233401
653413512052
711263524206
oct2420010400
9780251665
10339742976
11164859a21
1295942628
1355504661
143319b076
151ec5e8bb
hex14401100

339742976 has 72 divisors (see below), whose sum is σ = 697576320. Its totient is φ = 165095424.

The previous prime is 339742951. The next prime is 339743003. The reversal of 339742976 is 679247933.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2163890 + ... + 2164046.

It is an arithmetic number, because the mean of its divisors is an integer number (9688560).

Almost surely, 2339742976 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 339742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348788160).

339742976 is an abundant number, since it is smaller than the sum of its proper divisors (357833344).

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

339742976 is a wasteful number, since it uses less digits than its factorization.

339742976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 50.

The square root of 339742976 is about 18432.1180551775. The cubic root of 339742976 is about 697.7772870957. Note that the first 3 decimals are identical.

The spelling of 339742976 in words is "three hundred thirty-nine million, seven hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 79 107 128 157 158 214 256 314 316 428 628 632 856 1256 1264 1712 2512 2528 3424 5024 5056 6848 8453 10048 10112 12403 13696 16799 16906 20096 20224 24806 27392 33598 33812 40192 49612 67196 67624 99224 134392 135248 198448 268784 270496 396896 537568 540992 793792 1075136 1081984 1327121 1587584 2150272 2163968 2654242 3175168 4300544 5308484 10616968 21233936 42467872 84935744 169871488 339742976