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344675424 = 25323374219
BaseRepresentation
bin10100100010110…
…101010001100000
3220000120022210110
4110202311101200
51201214103144
654111331320
711353456422
oct2442652140
9800508713
10344675424
11167618825
1297520b40
1356540772
1433ac2812
15203d60b9
hex148b5460

344675424 has 96 divisors (see below), whose sum is σ = 969857280. Its totient is φ = 106900992.

The previous prime is 344675417. The next prime is 344675431. The reversal of 344675424 is 424576443.

It is an interprime number because it is at equal distance from previous prime (344675417) and next prime (344675431).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3446754242 = 237602295819159552, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 79587 + ... + 83805.

It is an arithmetic number, because the mean of its divisors is an integer number (10102680).

Almost surely, 2344675424 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 344675424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484928640).

344675424 is an abundant number, since it is smaller than the sum of its proper divisors (625181856).

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

344675424 is a wasteful number, since it uses less digits than its factorization.

344675424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4284 counting only the distinct ones).

The product of its digits is 322560, while the sum is 39.

The square root of 344675424 is about 18565.4362728162. The cubic root of 344675424 is about 701.1378934988.

The spelling of 344675424 in words is "three hundred forty-four million, six hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 69 74 92 96 111 138 148 184 222 276 296 368 444 552 592 736 851 888 1104 1184 1702 1776 2208 2553 3404 3552 4219 5106 6808 8438 10212 12657 13616 16876 20424 25314 27232 33752 40848 50628 67504 81696 97037 101256 135008 156103 194074 202512 291111 312206 388148 405024 468309 582222 624412 776296 936618 1164444 1248824 1552592 1873236 2328888 2497648 3105184 3590369 3746472 4657776 4995296 7180738 7492944 9315552 10771107 14361476 14985888 21542214 28722952 43084428 57445904 86168856 114891808 172337712 344675424