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930739968 = 2832613659
BaseRepresentation
bin110111011110011…
…111011100000000
32101212100111012200
4313132133130000
53401232134333
6232204553200
732031105414
oct6736373400
92355314180
10930739968
11438418794
1221b852800
1311aa9a412
148b87cd44
1556a9ec13
hex3779f700

930739968 has 108 divisors (see below), whose sum is σ = 2692009320. Its totient is φ = 309270528.

The previous prime is 930739961. The next prime is 930740009. The reversal of 930739968 is 869937039.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930739961) 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 11 ways as a sum of consecutive naturals, for example, 1412023 + ... + 1412681.

Almost surely, 2930739968 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 930739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346004660).

930739968 is an abundant number, since it is smaller than the sum of its proper divisors (1761269352).

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

930739968 is a wasteful number, since it uses less digits than its factorization.

930739968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 930739968 is about 30508.0312049139. The cubic root of 930739968 is about 976.3588217510.

It can be divided in two parts, 93073 and 9968, that added together give a square (103041 = 3212).

The spelling of 930739968 in words is "nine hundred thirty million, seven hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 613 659 768 1152 1226 1318 1839 1977 2304 2452 2636 3678 3954 4904 5272 5517 5931 7356 7908 9808 10544 11034 11862 14712 15816 19616 21088 22068 23724 29424 31632 39232 42176 44136 47448 58848 63264 78464 84352 88272 94896 117696 126528 156928 168704 176544 189792 235392 253056 353088 379584 403967 470784 506112 706176 759168 807934 1211901 1412352 1518336 1615868 2423802 3231736 3635703 4847604 6463472 7271406 9695208 12926944 14542812 19390416 25853888 29085624 38780832 51707776 58171248 77561664 103415552 116342496 155123328 232684992 310246656 465369984 930739968