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30909144 = 2337251733
BaseRepresentation
bin111010111101…
…0001011011000
32011011100101010
41311322023120
530403043034
63022253520
7523503060
oct165721330
964140333
1030909144
11164a1552
12a4272a0
136532a46
1441683a0
152aa83e9
hex1d7a2d8

30909144 has 64 divisors (see below), whose sum is σ = 88784640. Its totient is φ = 8784000.

The previous prime is 30909119. The next prime is 30909161. The reversal of 30909144 is 44190903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41802 + ... + 42534.

It is an arithmetic number, because the mean of its divisors is an integer number (1387260).

Almost surely, 230909144 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 30909144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44392320).

30909144 is an abundant number, since it is smaller than the sum of its proper divisors (57875496).

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

30909144 is a wasteful number, since it uses less digits than its factorization.

30909144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 30909144 is about 5559.5992661342. The cubic root of 30909144 is about 313.8308689285.

The spelling of 30909144 in words is "thirty million, nine hundred nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 251 502 733 753 1004 1466 1506 1757 2008 2199 2932 3012 3514 4398 5131 5271 5864 6024 7028 8796 10262 10542 14056 15393 17592 20524 21084 30786 41048 42168 61572 123144 183983 367966 551949 735932 1103898 1287881 1471864 2207796 2575762 3863643 4415592 5151524 7727286 10303048 15454572 30909144