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338232992 = 25107173571
BaseRepresentation
bin10100001010010…
…000011010100000
3212120110000102212
4110022100122200
51143041423432
653321301252
711244635006
oct2412203240
9776400385
10338232992
11163a184a9
1295334828
13550c6286
1432cc6a76
151ea622b2
hex142906a0

338232992 has 48 divisors (see below), whose sum is σ = 677188512. Its totient is φ = 166275840.

The previous prime is 338232989. The next prime is 338233013. The reversal of 338232992 is 299232833.

338232992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3382329922 = 228803113754544128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592067 + ... + 592637.

It is an arithmetic number, because the mean of its divisors is an integer number (14108094).

Almost surely, 2338232992 is an apocalyptic number.

338232992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

338232992 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

338232992 is a wasteful number, since it uses less digits than its factorization.

338232992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 853 counting only the distinct ones).

The product of its digits is 139968, while the sum is 41.

The square root of 338232992 is about 18391.1117662854. Note that the first 3 decimals coincide. The cubic root of 338232992 is about 696.7419972519.

The spelling of 338232992 in words is "three hundred thirty-eight million, two hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 107 173 214 346 428 571 692 856 1142 1384 1712 2284 2768 3424 4568 5536 9136 18272 18511 37022 61097 74044 98783 122194 148088 197566 244388 296176 395132 488776 592352 790264 977552 1580528 1955104 3161056 10569781 21139562 42279124 84558248 169116496 338232992