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325596768 = 25372193643
BaseRepresentation
bin10011011010000…
…011011001100000
3211200200000210120
4103122003121200
51131323044033
652150400240
711032345500
oct2332033140
9750600716
10325596768
11157877742
1291060080
13525c0813
1431357a00
151d8b81b3
hex13683660

325596768 has 144 divisors (see below), whose sum is σ = 1046848320. Its totient is φ = 88107264.

The previous prime is 325596757. The next prime is 325596779. The reversal of 325596768 is 867695523.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (325596757) and next prime (325596779).

It is a self number, because there is not a number n which added to its sum of digits gives 325596768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87555 + ... + 91197.

It is an arithmetic number, because the mean of its divisors is an integer number (7269780).

Almost surely, 2325596768 is an apocalyptic number.

325596768 is a gapful number since it is divisible by the number (38) 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 325596768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523424160).

325596768 is an abundant number, since it is smaller than the sum of its proper divisors (721251552).

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

325596768 is a wasteful number, since it uses less digits than its factorization.

325596768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3674 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 325596768 is about 18044.3001526798. The cubic root of 325596768 is about 687.9549952534.

The spelling of 325596768 in words is "three hundred twenty-five million, five hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2793 3192 3643 3724 4256 4704 5586 6384 7286 7448 10929 11172 12768 14572 14896 21858 22344 25501 29144 29792 43716 44688 51002 58288 69217 76503 87432 89376 102004 116576 138434 153006 174864 178507 204008 207651 276868 306012 349728 357014 408016 415302 484519 535521 553736 612024 714028 816032 830604 969038 1071042 1107472 1224048 1428056 1453557 1661208 1938076 2142084 2214944 2448096 2856112 2907114 3322416 3391633 3876152 4284168 5712224 5814228 6644832 6783266 7752304 8568336 10174899 11628456 13566532 15504608 17136672 20349798 23256912 27133064 40699596 46513824 54266128 81399192 108532256 162798384 325596768