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930343232 = 26713315153
BaseRepresentation
bin110111011100111…
…110100101000000
32101211121022222202
4313130332211000
53401131440412
6232152252332
732024533640
oct6734764500
92354538882
10930343232
11438177705
1221b6a10a8
1311a98b970
148b7b8520
1556a223c2
hex3773e940

930343232 has 112 divisors (see below), whose sum is σ = 2345935872. Its totient is φ = 356106240.

The previous prime is 930343223. The next prime is 930343273. The reversal of 930343232 is 232343039.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 930343195 and 930343204.

It is a congruent number.

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, 177968 + ... + 183120.

It is an arithmetic number, because the mean of its divisors is an integer number (20945856).

Almost surely, 2930343232 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 930343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172967936).

930343232 is an abundant number, since it is smaller than the sum of its proper divisors (1415592640).

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

930343232 is a wasteful number, since it uses less digits than its factorization.

930343232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

The square root of 930343232 is about 30501.5283551497. The cubic root of 930343232 is about 976.2200748908.

The spelling of 930343232 in words is "nine hundred thirty million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 182 208 217 224 248 364 403 416 434 448 496 728 806 832 868 992 1456 1612 1736 1984 2821 2912 3224 3472 5153 5642 5824 6448 6944 10306 11284 12896 13888 20612 22568 25792 36071 41224 45136 66989 72142 82448 90272 133978 144284 159743 164896 180544 267956 288568 319486 329792 468923 535912 577136 638972 937846 1071824 1118201 1154272 1277944 1875692 2076659 2143648 2236402 2308544 2555888 3751384 4153318 4287296 4472804 5111776 7502768 8306636 8945608 10223552 14536613 15005536 16613272 17891216 29073226 30011072 33226544 35782432 58146452 66453088 71564864 116292904 132906176 232585808 465171616 930343232