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1704045696 = 27331257557
BaseRepresentation
bin110010110010001…
…1010110010000000
311101202110111020120
41211210122302000
511442213430241
6441031340240
760141102153
oct14544326200
94352414216
101704045696
117a4986831
123b6821680
13212064b82
14122459c9a
159e902666
hex6591ac80

1704045696 has 128 divisors (see below), whose sum is σ = 4698984960. Its totient is φ = 546570240.

The previous prime is 1704045691. The next prime is 1704045697. The reversal of 1704045696 is 6965404071.

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

It is a super-2 number, since 2×17040456962 = 5807543468112248832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1704045691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3059050 + ... + 3059606.

It is an arithmetic number, because the mean of its divisors is an integer number (36710820).

Almost surely, 21704045696 is an apocalyptic number.

1704045696 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 1704045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349492480).

1704045696 is an abundant number, since it is smaller than the sum of its proper divisors (2994939264).

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

1704045696 is a wasteful number, since it uses less digits than its factorization.

1704045696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1704045696 is about 41280.0883719984. The cubic root of 1704045696 is about 1194.4292007378.

The spelling of 1704045696 in words is "one billion, seven hundred four million, forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 257 372 384 496 514 557 744 771 992 1028 1114 1488 1542 1671 1984 2056 2228 2976 3084 3342 3968 4112 4456 5952 6168 6684 7967 8224 8912 11904 12336 13368 15934 16448 17267 17824 23901 24672 26736 31868 32896 34534 35648 47802 49344 51801 53472 63736 69068 71296 95604 98688 103602 106944 127472 138136 143149 191208 207204 213888 254944 276272 286298 382416 414408 429447 509888 552544 572596 764832 828816 858894 1019776 1105088 1145192 1529664 1657632 1717788 2210176 2290384 3059328 3315264 3435576 4437619 4580768 6630528 6871152 8875238 9161536 13312857 13742304 17750476 18323072 26625714 27484608 35500952 53251428 54969216 71001904 106502856 142003808 213005712 284007616 426011424 568015232 852022848 1704045696