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1530344352 = 253174122871
BaseRepresentation
bin101101100110111…
…0011001110100000
310221122121112210110
41123031303032200
511113232004402
6411504331320
752631466225
oct13315631640
93848545713
101530344352
117159263a9
12368613b40
131b5087c04
1410736194c
158e54056c
hex5b3733a0

1530344352 has 96 divisors (see below), whose sum is σ = 4357390464. Its totient is φ = 468377600.

The previous prime is 1530344339. The next prime is 1530344363. The reversal of 1530344352 is 2534430351.

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

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, 55477 + ... + 78347.

It is an arithmetic number, because the mean of its divisors is an integer number (45389484).

Almost surely, 21530344352 is an apocalyptic number.

1530344352 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 1530344352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178695232).

1530344352 is an abundant number, since it is smaller than the sum of its proper divisors (2827046112).

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

1530344352 is a wasteful number, since it uses less digits than its factorization.

1530344352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22942 (or 22934 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 1530344352 is about 39119.6159490351. The cubic root of 1530344352 is about 1152.3817937844.

The spelling of 1530344352 in words is "one billion, five hundred thirty million, three hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 68 82 96 102 123 136 164 204 246 272 328 408 492 544 656 697 816 984 1312 1394 1632 1968 2091 2788 3936 4182 5576 8364 11152 16728 22304 22871 33456 45742 66912 68613 91484 137226 182968 274452 365936 388807 548904 731872 777614 937711 1097808 1166421 1555228 1875422 2195616 2332842 2813133 3110456 3750844 4665684 5626266 6220912 7501688 9331368 11252532 12441824 15003376 15941087 18662736 22505064 30006752 31882174 37325472 45010128 47823261 63764348 90020256 95646522 127528696 191293044 255057392 382586088 510114784 765172176 1530344352