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930738064 = 242922632
BaseRepresentation
bin110111011110011…
…110111110010000
32101212100101121011
4313132132332100
53401232104224
6232204540304
732031100024
oct6736367620
92355311534
10930738064
11438417313
1221b851694
1311aa995a9
148b87c384
1556a9e394
hex3779ef90

930738064 has 45 divisors (see below), whose sum is σ = 1874760433. Its totient is φ = 447613376.

The previous prime is 930738043. The next prime is 930738113. The reversal of 930738064 is 460837039.

The square root of 930738064 is 30508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 488056464 + 442681600 = 22092^2 + 21040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3538797 + ... + 3539059.

Almost surely, 2930738064 is an apocalyptic number.

930738064 is the 30508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930738064

930738064 is an abundant number, since it is smaller than the sum of its proper divisors (944022369).

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

930738064 is an equidigital number, since it uses as much as digits as its factorization.

930738064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The cubic root of 930738064 is about 976.3581559766.

The spelling of 930738064 in words is "nine hundred thirty million, seven hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 263 464 526 841 1052 1682 2104 3364 4208 6728 7627 13456 15254 30508 61016 69169 122032 138338 221183 276676 442366 553352 884732 1106704 1769464 2005901 3538928 4011802 8023604 16047208 32094416 58171129 116342258 232684516 465369032 930738064