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30437064 = 23327131461
BaseRepresentation
bin111010000011…
…0111011001000
32010021100210200
41310012323020
530242441224
63004212200
7516465540
oct164067310
963240720
1030437064
11161a98a9
12a23a060
1363c8bc8
144084320
152a135c9
hex1d06ec8

30437064 has 96 divisors (see below), whose sum is σ = 95135040. Its totient is φ = 8611200.

The previous prime is 30437063. The next prime is 30437083. The reversal of 30437064 is 46073403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30437063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65794 + ... + 66254.

It is an arithmetic number, because the mean of its divisors is an integer number (990990).

Almost surely, 230437064 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 30437064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567520).

30437064 is an abundant number, since it is smaller than the sum of its proper divisors (64697976).

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

30437064 is a wasteful number, since it uses less digits than its factorization.

30437064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 30437064 is about 5516.9796084452. The cubic root of 30437064 is about 312.2249364124.

The spelling of 30437064 in words is "thirty million, four hundred thirty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 131 168 252 262 393 461 504 524 786 917 922 1048 1179 1383 1572 1834 1844 2358 2751 2766 3144 3227 3668 3688 4149 4716 5502 5532 6454 7336 8253 8298 9432 9681 11004 11064 12908 16506 16596 19362 22008 25816 29043 33012 33192 38724 58086 60391 66024 77448 116172 120782 181173 232344 241564 362346 422737 483128 543519 724692 845474 1087038 1268211 1449384 1690948 2174076 2536422 3381896 3804633 4348152 5072844 7609266 10145688 15218532 30437064