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30805904 = 2417373061
BaseRepresentation
bin111010110000…
…0111110010000
32010222002202102
41311200332100
530341242104
63020135532
7522563063
oct165407620
963862672
1030805904
1116430a28
12a3975a8
1364c7a5c
14413c8da
152a87a1e
hex1d60f90

30805904 has 40 divisors (see below), whose sum is σ = 64926648. Its totient is φ = 14100480.

The previous prime is 30805903. The next prime is 30805919. The reversal of 30805904 is 40950803.

It can be written as a sum of positive squares in 4 ways, for example, as 23232400 + 7573504 = 4820^2 + 2752^2 .

It is not an unprimeable number, because it can be changed into a prime (30805903) 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, 8534 + ... + 11594.

Almost surely, 230805904 is an apocalyptic number.

30805904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30805904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32463324).

30805904 is an abundant number, since it is smaller than the sum of its proper divisors (34120744).

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

30805904 is a wasteful number, since it uses less digits than its factorization.

30805904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 30805904 is about 5550.3066581947. The cubic root of 30805904 is about 313.4810691078.

The spelling of 30805904 in words is "thirty million, eight hundred five thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 2516 3061 5032 6122 10064 12244 24488 48976 52037 104074 113257 208148 226514 416296 453028 832592 906056 1812112 1925369 3850738 7701476 15402952 30805904