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1344140736 = 26337431439
BaseRepresentation
bin101000000011101…
…1111010111000000
310110200020102110020
41100013133113000
510223100000421
6341213333440
745211002441
oct12007372700
93420212406
101344140736
1162a806914
12316197280
13185621463
14ca7312c8
157d00ddc6
hex501df5c0

1344140736 has 112 divisors (see below), whose sum is σ = 3669304320. Its totient is φ = 433935360.

The previous prime is 1344140729. The next prime is 1344140753. The reversal of 1344140736 is 6370414431.

It is a junction number, because it is equal to n+sod(n) for n = 1344140697 and 1344140706.

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, 3061605 + ... + 3062043.

Almost surely, 21344140736 is an apocalyptic number.

1344140736 is a gapful number since it is divisible by the number (16) 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 1344140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834652160).

1344140736 is an abundant number, since it is smaller than the sum of its proper divisors (2325163584).

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

1344140736 is a wasteful number, since it uses less digits than its factorization.

1344140736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 1344140736 is about 36662.5249539635. The cubic root of 1344140736 is about 1103.6081890446.

The spelling of 1344140736 in words is "one billion, three hundred forty-four million, one hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 431 439 444 592 862 878 888 1184 1293 1317 1724 1756 1776 2368 2586 2634 3448 3512 3552 5172 5268 6896 7024 7104 10344 10536 13792 14048 15947 16243 20688 21072 27584 28096 31894 32486 41376 42144 47841 48729 63788 64972 82752 84288 95682 97458 127576 129944 189209 191364 194916 255152 259888 378418 382728 389832 510304 519776 567627 756836 765456 779664 1020608 1039552 1135254 1513672 1530912 1559328 2270508 3027344 3061824 3118656 4541016 6054688 7000733 9082032 12109376 14001466 18164064 21002199 28002932 36328128 42004398 56005864 84008796 112011728 168017592 224023456 336035184 448046912 672070368 1344140736