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328887936 = 27321321961
BaseRepresentation
bin10011100110100…
…110111010000000
3211220212020102200
4103212212322000
51133143403221
652345113200
711102333646
oct2346467200
9756766380
10328887936
11159715413
1292188800
13531a3860
1431973196
151dd18426
hex139a6e80

328887936 has 96 divisors (see below), whose sum is σ = 1019256420. Its totient is φ = 101191680.

The previous prime is 328887913. The next prime is 328887941. The reversal of 328887936 is 639788823.

It can be written as a sum of positive squares in 2 ways, for example, as 328334400 + 553536 = 18120^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3996 + ... + 25956.

Almost surely, 2328887936 is an apocalyptic number.

328887936 is a gapful number since it is divisible by the number (36) 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 328887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509628210).

328887936 is an abundant number, since it is smaller than the sum of its proper divisors (690368484).

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

328887936 is a wasteful number, since it uses less digits than its factorization.

328887936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21994 (or 21979 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 328887936 is about 18135.2677399591. The cubic root of 328887936 is about 690.2652036631.

The spelling of 328887936 in words is "three hundred twenty-eight million, eight hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 21961 43922 65883 87844 131766 175688 197649 263532 285493 351376 395298 527064 570986 702752 790596 856479 1054128 1141972 1405504 1581192 1712958 2108256 2283944 2569437 2811008 3162384 3425916 4216512 4567888 5138874 6324768 6851832 8433024 9135776 10277748 12649536 13703664 18271552 20555496 25299072 27407328 36543104 41110992 54814656 82221984 109629312 164443968 328887936