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30958096 = 241321072
BaseRepresentation
bin111011000011…
…0001000010000
32011020211112011
41312012020100
530411124341
63023312304
7524065561
oct166061020
964224464
1030958096
1116525304
12a44b694
13654c100
14417c168
152ab7b81
hex1d86210

30958096 has 45 divisors (see below), whose sum is σ = 65562861. Its totient is φ = 14154816.

The previous prime is 30958091. The next prime is 30958097. The reversal of 30958096 is 69085903.

The square root of 30958096 is 5564.

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., 4579600 + 26378496 = 2140^2 + 5136^2 .

It is not an unprimeable number, because it can be changed into a prime (30958091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 289275 + ... + 289381.

Almost surely, 230958096 is an apocalyptic number.

30958096 is the 5564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30958096

30958096 is an abundant number, since it is smaller than the sum of its proper divisors (34604765).

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

30958096 is a wasteful number, since it uses less digits than its factorization.

30958096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The cubic root of 30958096 is about 313.9964568819.

The spelling of 30958096 in words is "thirty million, nine hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 107 169 208 214 338 428 676 856 1352 1391 1712 2704 2782 5564 11128 11449 18083 22256 22898 36166 45796 72332 91592 144664 148837 183184 289328 297674 595348 1190696 1934881 2381392 3869762 7739524 15479048 30958096