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1344610932 = 223737894861
BaseRepresentation
bin101000000100101…
…0010001001110100
310110201010022102220
41100021102021310
510223210022212
6341231402340
745215001330
oct12011221164
93421108386
101344610932
1162aaa8105
123163833b0
13185757492
14ca8147c0
157d0a338c
hex50252274

1344610932 has 96 divisors (see below), whose sum is σ = 3724680960. Its totient is φ = 369515520.

The previous prime is 1344610931. The next prime is 1344610933. The reversal of 1344610932 is 2390164431.

It is an interprime number because it is at equal distance from previous prime (1344610931) and next prime (1344610933).

It is a junction number, because it is equal to n+sod(n) for n = 1344610893 and 1344610902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344610931) by changing a digit.

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, 274182 + ... + 279042.

It is an arithmetic number, because the mean of its divisors is an integer number (38798760).

Almost surely, 21344610932 is an apocalyptic number.

1344610932 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 1344610932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862340480).

1344610932 is an abundant number, since it is smaller than the sum of its proper divisors (2380070028).

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

1344610932 is a wasteful number, since it uses less digits than its factorization.

1344610932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1344610932 is about 36668.9368812350. The cubic root of 1344610932 is about 1103.7368590186.

The spelling of 1344610932 in words is "one billion, three hundred forty-four million, six hundred ten thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 89 111 148 178 222 259 267 356 444 518 534 623 777 1036 1068 1246 1554 1869 2492 3108 3293 3738 4861 6586 7476 9722 9879 13172 14583 19444 19758 23051 29166 34027 39516 46102 58332 68054 69153 92204 102081 136108 138306 179857 204162 276612 359714 408324 432629 539571 719428 865258 1079142 1258999 1297887 1730516 2158284 2517998 2595774 3028403 3776997 5035996 5191548 6056806 7553994 9085209 12113612 15107988 16007273 18170418 32014546 36340836 48021819 64029092 96043638 112050911 192087276 224101822 336152733 448203644 672305466 1344610932