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328069776 = 24331474691
BaseRepresentation
bin10011100011011…
…111001010010000
3211212022200010110
4103203133022100
51132441213101
652315401320
711062355436
oct2343371220
9755280113
10328069776
11159206751
1291a53240
1352c78338
14317dcd56
151dc05cd6
hex138df290

328069776 has 80 divisors (see below), whose sum is σ = 893657088. Its totient is φ = 103555200.

The previous prime is 328069759. The next prime is 328069783. The reversal of 328069776 is 677960823.

328069776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67591 + ... + 72281.

Almost surely, 2328069776 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 328069776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446828544).

328069776 is an abundant number, since it is smaller than the sum of its proper divisors (565587312).

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

328069776 is a wasteful number, since it uses less digits than its factorization.

328069776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 328069776 is about 18112.6965413767. The cubic root of 328069776 is about 689.6923476186.

The spelling of 328069776 in words is "three hundred twenty-eight million, sixty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 186 188 248 282 372 376 496 564 744 752 1128 1457 1488 2256 2914 4371 4691 5828 8742 9382 11656 14073 17484 18764 23312 28146 34968 37528 56292 69936 75056 112584 145421 220477 225168 290842 436263 440954 581684 661431 872526 881908 1163368 1322862 1745052 1763816 2326736 2645724 3490104 3527632 5291448 6834787 6980208 10582896 13669574 20504361 27339148 41008722 54678296 82017444 109356592 164034888 328069776