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1804040352 = 253229613541
BaseRepresentation
bin110101110000111…
…0111100010100000
311122201121202010100
41223201313202200
512143313242402
6455002502400
762464042602
oct15341674240
94581552110
101804040352
11846374244
12424204a00
132299a60ca
14131849172
15a85a571c
hex6b8778a0

1804040352 has 144 divisors (see below), whose sum is σ = 5395670280. Its totient is φ = 570931200.

The previous prime is 1804040333. The next prime is 1804040353. The reversal of 1804040352 is 2530404081.

It can be written as a sum of positive squares in 4 ways, for example, as 1013530896 + 790509456 = 31836^2 + 28116^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1804040353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507702 + ... + 511242.

Almost surely, 21804040352 is an apocalyptic number.

1804040352 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 1804040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697835140).

1804040352 is an abundant number, since it is smaller than the sum of its proper divisors (3591629928).

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

1804040352 is a wasteful number, since it uses less digits than its factorization.

1804040352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1804040352 is about 42473.9961859018. The cubic root of 1804040352 is about 1217.3498758969.

The spelling of 1804040352 in words is "one billion, eight hundred four million, forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 61 72 87 96 116 122 144 174 183 232 244 261 288 348 366 464 488 522 549 696 732 928 976 1044 1098 1392 1464 1769 1952 2088 2196 2784 2928 3538 3541 4176 4392 5307 5856 7076 7082 8352 8784 10614 10623 14152 14164 15921 17568 21228 21246 28304 28328 31842 31869 42456 42492 56608 56656 63684 63738 84912 84984 102689 113312 127368 127476 169824 169968 205378 216001 254736 254952 308067 339936 410756 432002 509472 509904 616134 648003 821512 864004 924201 1019808 1232268 1296006 1643024 1728008 1848402 1944009 2464536 2592012 3286048 3456016 3696804 3888018 4929072 5184024 6264029 6912032 7393608 7776036 9858144 10368048 12528058 14787216 15552072 18792087 20736096 25056116 29574432 31104144 37584174 50112232 56376261 62208288 75168348 100224464 112752522 150336696 200448928 225505044 300673392 451010088 601346784 902020176 1804040352