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30817296 = 2432214009
BaseRepresentation
bin111010110001…
…1110000010000
32010222200101100
41311203300100
530342123141
63020304400
7522641226
oct165436020
963880340
1030817296
1116439544
12a3a2100
1364cccb3
144142b16
152a8b0b6
hex1d63c10

30817296 has 30 divisors (see below), whose sum is σ = 86246030. Its totient is φ = 10272384.

The previous prime is 30817271. The next prime is 30817321. The reversal of 30817296 is 69271803.

It is an interprime number because it is at equal distance from previous prime (30817271) and next prime (30817321).

It can be written as a sum of positive squares in only one way, i.e., 19927296 + 10890000 = 4464^2 + 3300^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30817296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106861 + ... + 107148.

Almost surely, 230817296 is an apocalyptic number.

30817296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30817296 is an abundant number, since it is smaller than the sum of its proper divisors (55428734).

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

30817296 is a wasteful number, since it uses less digits than its factorization.

30817296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214023 (or 214014 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 30817296 is about 5551.3328129378. The cubic root of 30817296 is about 313.5197060329.

It can be divided in two parts, 30817 and 296, that added together give a palindrome (31113).

The spelling of 30817296 in words is "thirty million, eight hundred seventeen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 214009 428018 642027 856036 1284054 1712072 1926081 2568108 3424144 3852162 5136216 7704324 10272432 15408648 30817296