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904631328 = 2534421829
BaseRepresentation
bin110101111010111…
…001010000100000
32100001020000220000
4311322321100200
53323041200303
6225433220000
731263145056
oct6572712040
92301200800
10904631328
114247059a7
12212b61600
13115558713
14882041d6
1554643da3
hex35eb9420

904631328 has 120 divisors (see below), whose sum is σ = 2670031980. Its totient is φ = 300464640.

The previous prime is 904631327. The next prime is 904631341. The reversal of 904631328 is 823136409.

It can be written as a sum of positive squares in 2 ways, for example, as 814988304 + 89643024 = 28548^2 + 9468^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 904631292 and 904631301.

It is not an unprimeable number, because it can be changed into a prime (904631327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1090818 + ... + 1091646.

Almost surely, 2904631328 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 904631328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335015990).

904631328 is an abundant number, since it is smaller than the sum of its proper divisors (1765400652).

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

904631328 is a wasteful number, since it uses less digits than its factorization.

904631328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 904631328 is about 30077.0897528335. The cubic root of 904631328 is about 967.1426623399.

The spelling of 904631328 in words is "nine hundred four million, six hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 421 432 648 829 842 864 1263 1296 1658 1684 2487 2526 2592 3316 3368 3789 4974 5052 6632 6736 7461 7578 9948 10104 11367 13264 13472 14922 15156 19896 20208 22383 22734 26528 29844 30312 34101 39792 40416 44766 45468 59688 60624 67149 68202 79584 89532 90936 119376 121248 134298 136404 179064 181872 238752 268596 272808 349009 358128 363744 537192 545616 698018 716256 1047027 1074384 1091232 1396036 2094054 2148768 2792072 3141081 4188108 5584144 6282162 8376216 9423243 11168288 12564324 16752432 18846486 25128648 28269729 33504864 37692972 50257296 56539458 75385944 100514592 113078916 150771888 226157832 301543776 452315664 904631328