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930344080 = 24514978049
BaseRepresentation
bin110111011100111…
…110110010010000
32101211121101011011
4313130332302100
53401132002310
6232152300304
732024536261
oct6734766220
92354541134
10930344080
11438178306
1221b6a1694
1311a98c173
148b7b8968
1556a2278a
hex3773ec90

930344080 has 40 divisors (see below), whose sum is σ = 2177595000. Its totient is φ = 369635328.

The previous prime is 930344071. The next prime is 930344113. The reversal of 930344080 is 80443039.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 928786576 = 1248^2 + 30476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27105 + ... + 50944.

It is an arithmetic number, because the mean of its divisors is an integer number (54439875).

Almost surely, 2930344080 is an apocalyptic number.

It is an amenable number.

930344080 is an abundant number, since it is smaller than the sum of its proper divisors (1247250920).

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

930344080 is a wasteful number, since it uses less digits than its factorization.

930344080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78211 (or 78205 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 930344080 is about 30501.5422560893. The cubic root of 930344080 is about 976.2203714962.

The spelling of 930344080 in words is "nine hundred thirty million, three hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 78049 156098 312196 390245 624392 780490 1248784 1560980 3121960 6243920 11629301 23258602 46517204 58146505 93034408 116293010 186068816 232586020 465172040 930344080