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30768736 = 254359379
BaseRepresentation
bin111010101011…
…1111001100000
32010220012202211
41311113321200
530334044421
63015251504
7522346525
oct165277140
963805684
1030768736
1116406009
12a379b94
1364b3b6b
14412d14c
152a7b9e1
hex1d57e60

30768736 has 48 divisors (see below), whose sum is σ = 63201600. Its totient is φ = 14732928.

The previous prime is 30768713. The next prime is 30768743. The reversal of 30768736 is 63786703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80995 + ... + 81373.

It is an arithmetic number, because the mean of its divisors is an integer number (1316700).

Almost surely, 230768736 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 30768736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31600800).

30768736 is an abundant number, since it is smaller than the sum of its proper divisors (32432864).

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

30768736 is a wasteful number, since it uses less digits than its factorization.

30768736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 30768736 is about 5546.9573641772. The cubic root of 30768736 is about 313.3549444377.

The spelling of 30768736 in words is "thirty million, seven hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 59 86 118 172 236 344 379 472 688 758 944 1376 1516 1888 2537 3032 5074 6064 10148 12128 16297 20296 22361 32594 40592 44722 65188 81184 89444 130376 178888 260752 357776 521504 715552 961523 1923046 3846092 7692184 15384368 30768736