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69314304 = 283175309
BaseRepresentation
bin1000010000110…
…10011100000000
311211102112100110
410020122130000
5120221024204
610513351320
71501106343
oct410323400
9154375313
1069314304
1136142954
121b268540
131148b6a7
1492c445a
156142889
hex421a700

69314304 has 72 divisors (see below), whose sum is σ = 195365520. Its totient is φ = 21741568.

The previous prime is 69314281. The next prime is 69314309. The reversal of 69314304 is 40341396.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69314309) 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, 10402 + ... + 15710.

It is an arithmetic number, because the mean of its divisors is an integer number (2713410).

Almost surely, 269314304 is an apocalyptic number.

69314304 is a gapful number since it is divisible by the number (64) 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 69314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97682760).

69314304 is an abundant number, since it is smaller than the sum of its proper divisors (126051216).

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

69314304 is a wasteful number, since it uses less digits than its factorization.

69314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 69314304 is about 8325.5212449432. The cubic root of 69314304 is about 410.7784220129.

The spelling of 69314304 in words is "sixty-nine million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 5309 6528 10618 13056 15927 21236 31854 42472 63708 84944 90253 127416 169888 180506 254832 270759 339776 361012 509664 541518 679552 722024 1019328 1083036 1359104 1444048 2038656 2166072 2888096 4077312 4332144 5776192 8664288 11552384 17328576 23104768 34657152 69314304