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1931497344 = 27327239521
BaseRepresentation
bin111001100100000…
…0100111110000000
311222121110020020200
41303020010332000
512423430403334
6515354405200
765602312410
oct16310047600
94877406220
101931497344
119013095a7
1245aa30800
1324a21124a
14144746640
15b4880799
hex73204f80

1931497344 has 96 divisors (see below), whose sum is σ = 6352123440. Its totient is φ = 551854080.

The previous prime is 1931497319. The next prime is 1931497387. The reversal of 1931497344 is 4437941391.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1931497344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111697 + ... + 127824.

Almost surely, 21931497344 is an apocalyptic number.

1931497344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1931497344 is an abundant number, since it is smaller than the sum of its proper divisors (4420626096).

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

1931497344 is a wasteful number, since it uses less digits than its factorization.

1931497344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239548 (or 239533 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 1931497344 is about 43948.8036697246. The cubic root of 1931497344 is about 1245.3689640463.

The spelling of 1931497344 in words is "one billion, nine hundred thirty-one million, four hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 239521 479042 718563 958084 1437126 1676647 1916168 2155689 2874252 3353294 3832336 4311378 5029941 5748504 6706588 7664672 8622756 10059882 11497008 13413176 15089823 15329344 17245512 20119764 22994016 26826352 30179646 30658688 34491024 40239528 45988032 53652704 60359292 68982048 80479056 91976064 107305408 120718584 137964096 160958112 214610816 241437168 275928192 321916224 482874336 643832448 965748672 1931497344