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10304134400 = 28527230003
BaseRepresentation
bin10011001100010110…
…01001110100000000
3222121010001021002102
421212023021310000
5132100324300100
64422245205532
7513226461110
oct114613116400
928533037072
1010304134400
11440846275a
121bb6a008a8
13c82a05061
146da6d1040
15404936cd5
hex2662c9d00

10304134400 has 108 divisors (see below), whose sum is σ = 29147946912. Its totient is φ = 3532830720.

The previous prime is 10304134331. The next prime is 10304134439. The reversal of 10304134400 is 443140301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70202 + ... + 159801.

Almost surely, 210304134400 is an apocalyptic number.

10304134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10304134400 is an abundant number, since it is smaller than the sum of its proper divisors (18843812512).

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

10304134400 is an equidigital number, since it uses as much as digits as its factorization.

10304134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230036 (or 230017 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10304134400 its reverse (443140301), we get a palindrome (10747274701).

The spelling of 10304134400 in words is "ten billion, three hundred four million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2800 3200 4480 5600 6400 8960 11200 22400 44800 230003 460006 920012 1150015 1610021 1840024 2300030 3220042 3680048 4600060 5750075 6440084 7360096 8050105 9200120 11500150 12880168 14720192 16100210 18400240 23000300 25760336 29440384 32200420 36800480 40250525 46000600 51520672 58880768 64400840 73600960 80501050 92001200 103041344 128801680 147201920 161002100 184002400 206082688 257603360 294403840 322004200 368004800 412165376 515206720 644008400 736009600 1030413440 1288016800 1472019200 2060826880 2576033600 5152067200 10304134400