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930652380 = 22325771101103
BaseRepresentation
bin110111011110001…
…010000011011100
32101212012001001200
4313132022003130
53401221334010
6232203035500
732030262150
oct6736120334
92355161050
10930652380
114383689a9
1221b80bb90
1311aa695a8
148b859060
1556a83cc0
hex3778a0dc

930652380 has 288 divisors, whose sum is σ = 3336173568. Its totient is φ = 205632000.

The previous prime is 930652351. The next prime is 930652391. The reversal of 930652380 is 83256039.

It is a super-2 number, since 2×9306523802 = 1732227704799328800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9035409 + ... + 9035511.

It is an arithmetic number, because the mean of its divisors is an integer number (11583936).

Almost surely, 2930652380 is an apocalyptic number.

930652380 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930652380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668086784).

930652380 is an abundant number, since it is smaller than the sum of its proper divisors (2405521188).

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

930652380 is a wasteful number, since it uses less digits than its factorization.

930652380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 930652380 is about 30506.5956802787. The cubic root of 930652380 is about 976.3281937911.

The spelling of 930652380 in words is "nine hundred thirty million, six hundred fifty-two thousand, three hundred eighty".