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30434112 = 263252837
BaseRepresentation
bin111010000011…
…0001101000000
32010021012202100
41310012031000
530242342422
63004150400
7516454122
oct164061500
963235670
1030434112
11161a7665
12a238400
1363c7767
144083212
152a127ac
hex1d06340

30434112 has 42 divisors (see below), whose sum is σ = 87235538. Its totient is φ = 10144512.

The previous prime is 30434111. The next prime is 30434123. The reversal of 30434112 is 21143403.

It can be written as a sum of positive squares in only one way, i.e., 15872256 + 14561856 = 3984^2 + 3816^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30434111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25843 + ... + 26994.

Almost surely, 230434112 is an apocalyptic number.

30434112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30434112 is an abundant number, since it is smaller than the sum of its proper divisors (56801426).

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

30434112 is a wasteful number, since it uses less digits than its factorization.

30434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52855 (or 52842 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30434112 is about 5516.7120642644. The cubic root of 30434112 is about 312.2148421645.

Adding to 30434112 its reverse (21143403), we get a palindrome (51577515).

The spelling of 30434112 in words is "thirty million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 52837 105674 158511 211348 317022 422696 475533 634044 845392 951066 1268088 1690784 1902132 2536176 3381568 3804264 5072352 7608528 10144704 15217056 30434112