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930331968 = 263231911103
BaseRepresentation
bin110111011100111…
…011110101000000
32101211120202112120
4313130323311000
53401131110333
6232152124240
732024456046
oct6734736500
92354522476
10930331968
1143816a1a5
1221b696680
1311a9867b7
148b7b4396
1556a1ddb3
hex3773bd40

930331968 has 112 divisors (see below), whose sum is σ = 2584313856. Its totient is φ = 294807040.

The previous prime is 930331967. The next prime is 930331993. The reversal of 930331968 is 869133039.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930331967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842905 + ... + 844007.

Almost surely, 2930331968 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 930331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292156928).

930331968 is an abundant number, since it is smaller than the sum of its proper divisors (1653981888).

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

930331968 is a wasteful number, since it uses less digits than its factorization.

930331968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 930331968 is about 30501.3437081057. The cubic root of 930331968 is about 976.2161350591.

The spelling of 930331968 in words is "nine hundred thirty million, three hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 191 192 276 368 382 552 573 736 764 1103 1104 1146 1472 1528 2206 2208 2292 3056 3309 4393 4412 4416 4584 6112 6618 8786 8824 9168 12224 13179 13236 17572 17648 18336 25369 26358 26472 35144 35296 36672 50738 52716 52944 70288 70592 76107 101476 105432 105888 140576 152214 202952 210673 210864 211776 281152 304428 405904 421346 421728 608856 632019 811808 842692 843456 1217712 1264038 1623616 1685384 2435424 2528076 3370768 4845479 4870848 5056152 6741536 9690958 10112304 13483072 14536437 19381916 20224608 29072874 38763832 40449216 58145748 77527664 116291496 155055328 232582992 310110656 465165984 930331968