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1896329344 = 27713712293
BaseRepresentation
bin111000100000111…
…1011000010000000
311220011021111211011
41301001323002000
512340430014334
6512100530304
764664350660
oct16101730200
94804244734
101896329344
11893479338
1244b0b0994
13242b49b90
1413dbd01a0
15b1735564
hex7107b080

1896329344 has 128 divisors (see below), whose sum is σ = 4717198080. Its totient is φ = 739307520.

The previous prime is 1896329327. The next prime is 1896329359. The reversal of 1896329344 is 4439236981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 825862 + ... + 828154.

It is an arithmetic number, because the mean of its divisors is an integer number (36853110).

Almost surely, 21896329344 is an apocalyptic number.

1896329344 is a gapful number since it is divisible by the number (14) 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 1896329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358599040).

1896329344 is an abundant number, since it is smaller than the sum of its proper divisors (2820868736).

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

1896329344 is a wasteful number, since it uses less digits than its factorization.

1896329344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2386 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 49.

The square root of 1896329344 is about 43546.8637676699. The cubic root of 1896329344 is about 1237.7642125918.

The spelling of 1896329344 in words is "one billion, eight hundred ninety-six million, three hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 71 91 104 112 128 142 182 208 224 284 364 416 448 497 568 728 832 896 923 994 1136 1456 1664 1846 1988 2272 2293 2912 3692 3976 4544 4586 5824 6461 7384 7952 9088 9172 11648 12922 14768 15904 16051 18344 25844 29536 29809 31808 32102 36688 51688 59072 59618 63616 64204 73376 103376 118144 119236 128408 146752 162803 206752 208663 238472 256816 293504 325606 413504 417326 476944 513632 651212 827008 834652 953888 1027264 1139621 1302424 1669304 1907776 2054528 2116439 2279242 2604848 3338608 3815552 4232878 4558484 5209696 6677216 8465756 9116968 10419392 13354432 14815073 16931512 18233936 20838784 26708864 29630146 33863024 36467872 59260292 67726048 72935744 118520584 135452096 145871488 237041168 270904192 474082336 948164672 1896329344