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1040404320 = 253251275689
BaseRepresentation
bin111110000000110…
…100111101100000
32200111201000102100
4332000310331200
54112320414240
6251123250400
734532201514
oct7600647540
92614630370
101040404320
1149431018a
12250519a00
13137715a77
149c268144
1561512e30
hex3e034f60

1040404320 has 144 divisors (see below), whose sum is σ = 3578964480. Its totient is φ = 275208192.

The previous prime is 1040404291. The next prime is 1040404331. The reversal of 1040404320 is 234040401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10404043202 = 2164882298149324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1040404293 and 1040404302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180036 + ... + 185724.

It is an arithmetic number, because the mean of its divisors is an integer number (24853920).

Almost surely, 21040404320 is an apocalyptic number.

1040404320 is a gapful number since it is divisible by the number (10) 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 1040404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789482240).

1040404320 is an abundant number, since it is smaller than the sum of its proper divisors (2538560160).

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

1040404320 is a wasteful number, since it uses less digits than its factorization.

1040404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5837 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1040404320 is about 32255.2990995278. The cubic root of 1040404320 is about 1013.2906818767.

Adding to 1040404320 its reverse (234040401), we get a palindrome (1274444721).

The spelling of 1040404320 in words is "one billion, forty million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 127 144 160 180 240 254 288 360 381 480 508 635 720 762 1016 1143 1270 1440 1524 1905 2032 2286 2540 3048 3810 4064 4572 5080 5689 5715 6096 7620 9144 10160 11378 11430 12192 15240 17067 18288 20320 22756 22860 28445 30480 34134 36576 45512 45720 51201 56890 60960 68268 85335 91024 91440 102402 113780 136536 170670 182048 182880 204804 227560 256005 273072 341340 409608 455120 512010 546144 682680 722503 819216 910240 1024020 1365360 1445006 1638432 2048040 2167509 2730720 2890012 3612515 4096080 4335018 5780024 6502527 7225030 8192160 8670036 10837545 11560048 13005054 14450060 17340072 21675090 23120096 26010108 28900120 32512635 34680144 43350180 52020216 57800240 65025270 69360288 86700360 104040432 115600480 130050540 173400720 208080864 260101080 346801440 520202160 1040404320