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30934016 = 210171777
BaseRepresentation
bin111011000000…
…0010000000000
32011012121111022
41312000100000
530404342031
63023005012
7523635431
oct166002000
964177438
1030934016
1116509203
12a439768
136541169
144173488
152ab097b
hex1d80400

30934016 has 44 divisors (see below), whose sum is σ = 65512188. Its totient is φ = 14548992.

The previous prime is 30934003. The next prime is 30934031. The reversal of 30934016 is 61043903.

It can be written as a sum of positive squares in 2 ways, for example, as 20070400 + 10863616 = 4480^2 + 3296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16520 + ... + 18296.

Almost surely, 230934016 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 30934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32756094).

30934016 is an abundant number, since it is smaller than the sum of its proper divisors (34578172).

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

30934016 is a wasteful number, since it uses less digits than its factorization.

30934016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 30934016 is about 5561.8356681944. The cubic root of 30934016 is about 313.9150242692.

Adding to 30934016 its reverse (61043903), we get a palindrome (91977919).

The spelling of 30934016 in words is "thirty million, nine hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1777 2176 3554 4352 7108 8704 14216 17408 28432 30209 56864 60418 113728 120836 227456 241672 454912 483344 909824 966688 1819648 1933376 3866752 7733504 15467008 30934016