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31834404 = 22337172477
BaseRepresentation
bin111100101110…
…0000100100100
32012220100121000
41321130010210
531122200104
63054153300
7534405450
oct171340444
965810530
1031834404
1116a73728
12a7b2830
136797c34
144329660
152bdc639
hex1e5c124

31834404 has 96 divisors (see below), whose sum is σ = 99912960. Its totient is φ = 8557056.

The previous prime is 31834399. The next prime is 31834417. The reversal of 31834404 is 40443813.

31834404 is a `hidden beast` number, since 318 + 344 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 11614 + ... + 14090.

It is an arithmetic number, because the mean of its divisors is an integer number (1040760).

Almost surely, 231834404 is an apocalyptic number.

31834404 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 31834404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49956480).

31834404 is an abundant number, since it is smaller than the sum of its proper divisors (68078556).

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

31834404 is a wasteful number, since it uses less digits than its factorization.

31834404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 31834404 is about 5642.1985076741. The cubic root of 31834404 is about 316.9316228774.

The spelling of 31834404 in words is "thirty-one million, eight hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 2477 3213 4284 4954 6426 7431 9908 12852 14862 17339 22293 29724 34678 42109 44586 52017 66879 69356 84218 89172 104034 126327 133758 156051 168436 208068 252654 267516 294763 312102 378981 468153 505308 589526 624204 757962 884289 936306 1136943 1179052 1515924 1768578 1872612 2273886 2652867 3537156 4547772 5305734 7958601 10611468 15917202 31834404