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930229968 = 243194632203
BaseRepresentation
bin110111011100100…
…010111011010000
32101211101120121210
4313130202323100
53401114324333
6232150020120
732023552503
oct6734427320
92354346553
10930229968
114380aa5a8
1221b647640
1311a94c245
148b78913a
15569eda63
hex37722ed0

930229968 has 80 divisors (see below), whose sum is σ = 2536186880. Its totient is φ = 292989312.

The previous prime is 930229967. The next prime is 930229973. The reversal of 930229968 is 869922039.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930229961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421155 + ... + 423357.

It is an arithmetic number, because the mean of its divisors is an integer number (31702336).

Almost surely, 2930229968 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 930229968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268093440).

930229968 is an abundant number, since it is smaller than the sum of its proper divisors (1605956912).

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

930229968 is a wasteful number, since it uses less digits than its factorization.

930229968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 930229968 is about 30499.6716047895. The cubic root of 930229968 is about 976.1804568681.

The spelling of 930229968 in words is "nine hundred thirty million, two hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 463 912 926 1389 1852 2203 2778 3704 4406 5556 6609 7408 8797 8812 11112 13218 17594 17624 22224 26391 26436 35188 35248 41857 52782 52872 70376 83714 105564 105744 125571 140752 167428 211128 251142 334856 422256 502284 669712 1004568 1019989 2009136 2039978 3059967 4079956 6119934 8159912 12239868 16319824 19379791 24479736 38759582 48959472 58139373 77519164 116278746 155038328 232557492 310076656 465114984 930229968