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336867072 = 2834331013
BaseRepresentation
bin10100000101000…
…010111100000000
3212110212121202020
4110011002330000
51142214221242
653232121440
711230215513
oct2405027400
9773777666
10336867072
11163175243
1294996280
1354a38639
1432a4cd7a
151e8926ec
hex14142f00

336867072 has 72 divisors (see below), whose sum is σ = 899515344. Its totient is φ = 111919104.

The previous prime is 336867059. The next prime is 336867073. The reversal of 336867072 is 270768633.

It is a super-2 number, since 2×3368670722 = 226958848395706368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336867073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332038 + ... + 333050.

Almost surely, 2336867072 is an apocalyptic number.

336867072 is a gapful number since it is divisible by the number (32) 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 336867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449757672).

336867072 is an abundant number, since it is smaller than the sum of its proper divisors (562648272).

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

336867072 is a wasteful number, since it uses less digits than its factorization.

336867072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 336867072 is about 18353.9388688096. The cubic root of 336867072 is about 695.8028243148.

The spelling of 336867072 in words is "three hundred thirty-six million, eight hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 433 768 866 1013 1299 1732 2026 2598 3039 3464 4052 5196 6078 6928 8104 10392 12156 13856 16208 20784 24312 27712 32416 41568 48624 55424 64832 83136 97248 110848 129664 166272 194496 259328 332544 388992 438629 777984 877258 1315887 1754516 2631774 3509032 5263548 7018064 10527096 14036128 21054192 28072256 42108384 56144512 84216768 112289024 168433536 336867072