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344324134243232 = 251113461163222687
BaseRepresentation
bin100111001001010010011010…
…1101101011000101110100000
31200011011001202221022220122022
41032102210311231120232200
5330112401311331240412
63220152153520201012
7132345412014255503
oct11622446555305640
91604131687286568
10344324134243232
119a7920552a5620
12327503a7a69168
1311a1881b665bb0
14610553c77513a
1529c19da8a1a72
hex1392935b58ba0

344324134243232 has 96 divisors (see below), whose sum is σ = 798127605563904. Its totient is φ = 144158276275200.

The previous prime is 344324134243189. The next prime is 344324134243237. The reversal of 344324134243232 is 232342431423443.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (344324134243237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79501808 + ... + 83720879.

It is an arithmetic number, because the mean of its divisors is an integer number (8313829224624).

Almost surely, 2344324134243232 is an apocalyptic number.

344324134243232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344324134243232 is an abundant number, since it is smaller than the sum of its proper divisors (453803471320672).

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

344324134243232 is a wasteful number, since it uses less digits than its factorization.

344324134243232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163223182 (or 163223174 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 44.

Adding to 344324134243232 its reverse (232342431423443), we get a palindrome (576666565666675).

The spelling of 344324134243232 in words is "three hundred forty-four trillion, three hundred twenty-four billion, one hundred thirty-four million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 461 572 922 1144 1844 2288 3688 4576 5071 5993 7376 10142 11986 14752 20284 23972 40568 47944 65923 81136 95888 131846 162272 191776 263692 527384 1054768 2109536 163222687 326445374 652890748 1305781496 1795449557 2121894931 2611562992 3590899114 4243789862 5223125984 7181798228 8487579724 14363596456 16975159448 23340844241 28727192912 33950318896 46681688482 57454385824 67900637792 75245658707 93363376964 150491317414 186726753928 300982634828 373453507856 601965269656 746907015712 827702245777 978193563191 1203930539312 1655404491554 1956387126382 2407861078624 3310808983108 3912774252764 6621617966216 7825548505528 10760129195101 13243235932432 15651097011056 21520258390202 26486471864864 31302194022112 43040516780404 86081033560808 172162067121616 344324134243232