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30291296 = 257271499
BaseRepresentation
bin111001110001…
…1010101100000
32002222221211212
41303203111200
530223310141
63001125252
7515320550
oct163432540
962887755
1030291296
111610a332
12a189828
136377759
144047160
1529d52eb
hex1ce3560

30291296 has 48 divisors (see below), whose sum is σ = 68544000. Its totient is φ = 12908160.

The previous prime is 30291293. The next prime is 30291323. The reversal of 30291296 is 69219203.

It is a super-2 number, since 2×302912962 = 1835125226719232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30291293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60455 + ... + 60953.

It is an arithmetic number, because the mean of its divisors is an integer number (1428000).

Almost surely, 230291296 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 30291296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34272000).

30291296 is an abundant number, since it is smaller than the sum of its proper divisors (38252704).

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

30291296 is a wasteful number, since it uses less digits than its factorization.

30291296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 30291296 is about 5503.7529014301. The cubic root of 30291296 is about 311.7257067685.

The spelling of 30291296 in words is "thirty million, two hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 271 499 542 998 1084 1897 1996 2168 3493 3794 3992 4336 6986 7588 7984 8672 13972 15176 15968 27944 30352 55888 60704 111776 135229 270458 540916 946603 1081832 1893206 2163664 3786412 4327328 7572824 15145648 30291296