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1344726432 = 253273121517
BaseRepresentation
bin101000000100110…
…1110010110100000
310110201100011212200
41100021232112200
510223222221212
6341234053200
745215662140
oct12011562640
93421304780
101344726432
11630076965
1231641a200
13185797c1a
14ca844920
157d0c76dc
hex5026e5a0

1344726432 has 144 divisors (see below), whose sum is σ = 4511549952. Its totient is φ = 371796480.

The previous prime is 1344726403. The next prime is 1344726437. The reversal of 1344726432 is 2346274431.

1344726432 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 7 + 2 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1344726437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51738 + ... + 73254.

It is an arithmetic number, because the mean of its divisors is an integer number (31330208).

Almost surely, 21344726432 is an apocalyptic number.

1344726432 is a gapful number since it is divisible by the number (12) 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 1344726432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255774976).

1344726432 is an abundant number, since it is smaller than the sum of its proper divisors (3166823520).

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

1344726432 is a wasteful number, since it uses less digits than its factorization.

1344726432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21571 (or 21560 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 1344726432 is about 36670.5117499061. The cubic root of 1344726432 is about 1103.7684612103.

The spelling of 1344726432 in words is "one billion, three hundred forty-four million, seven hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6944 7812 8928 10416 15624 20832 21517 31248 43034 62496 64551 86068 129102 150619 172136 193653 258204 301238 344272 387306 451857 516408 602476 667027 688544 774612 903714 1032816 1204952 1334054 1355571 1549224 1807428 2001081 2065632 2409904 2668108 2711142 3098448 3614856 4002162 4669189 4819808 5336216 5422284 6003243 6196896 7229712 8004324 9338378 10672432 10844568 12006486 14007567 14459424 16008648 18676756 21344864 21689136 24012972 28015134 32017296 37353512 42022701 43378272 48025944 56030268 64034592 74707024 84045402 96051888 112060536 149414048 168090804 192103776 224121072 336181608 448242144 672363216 1344726432