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314703872 = 21774
BaseRepresentation
bin10010110000100…
…000000000000000
3210221011121112222
4102300200000000
51121031010442
651121110212
710540640000
oct2260400000
9727147488
10314703872
1115170774a
1289488368
1350278712
142db20000
151c9658d2
hex12c20000

314703872 has 90 divisors (see below), whose sum is σ = 734262543. Its totient is φ = 134873088.

The previous prime is 314703863. The next prime is 314703887. The reversal of 314703872 is 278307413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 157351936 + 157351936 = 12544^2 + 12544^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12544.

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 4 ways as a sum of consecutive naturals, for example, 44957693 + ... + 44957699.

Almost surely, 2314703872 is an apocalyptic number.

314703872 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 314703872

314703872 is an abundant number, since it is smaller than the sum of its proper divisors (419558671).

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

314703872 is an frugal number, since it uses more digits than its factorization.

314703872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 314703872 is about 17739.8949264081. The cubic root of 314703872 is about 680.1959297001.

The spelling of 314703872 in words is "three hundred fourteen million, seven hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2401 2744 3136 3584 4096 4802 5488 6272 7168 8192 9604 10976 12544 14336 16384 19208 21952 25088 28672 32768 38416 43904 50176 57344 65536 76832 87808 100352 114688 131072 153664 175616 200704 229376 307328 351232 401408 458752 614656 702464 802816 917504 1229312 1404928 1605632 2458624 2809856 3211264 4917248 5619712 6422528 9834496 11239424 19668992 22478848 39337984 44957696 78675968 157351936 314703872