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544343904 = 253213145391
BaseRepresentation
bin100000011100100…
…000011101100000
31101221021112110100
4200130200131200
52103323001104
6130003102400
716326563316
oct4034403540
91357245410
10544343904
1125a2a46a5
12132371a00
1388a0cbb0
145241a0b6
1532bc7139
hex20720760

544343904 has 72 divisors (see below), whose sum is σ = 1667064672. Its totient is φ = 167489280.

The previous prime is 544343903. The next prime is 544343909. The reversal of 544343904 is 409343445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×5443439043 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544343903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68952 + ... + 76439.

It is an arithmetic number, because the mean of its divisors is an integer number (23153676).

Almost surely, 2544343904 is an apocalyptic number.

It is an amenable number.

544343904 is an abundant number, since it is smaller than the sum of its proper divisors (1122720768).

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

544343904 is a wasteful number, since it uses less digits than its factorization.

544343904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145420 (or 145409 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 544343904 is about 23331.1787957660. The cubic root of 544343904 is about 816.5030059013.

The spelling of 544343904 in words is "five hundred forty-four million, three hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 145391 290782 436173 581564 872346 1163128 1308519 1744692 1890083 2326256 2617038 3489384 3780166 4652512 5234076 5670249 6978768 7560332 10468152 11340498 13957536 15120664 17010747 20936304 22680996 30241328 34021494 41872608 45361992 60482656 68042988 90723984 136085976 181447968 272171952 544343904