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544164240 = 243512891759
BaseRepresentation
bin100000011011110…
…100100110010000
31101220221102000010
4200123310212100
52103301223430
6125555154520
716325214444
oct4033644620
91356842003
10544164240
1125a191714
121322a5a40
1388979199
14523b0824
1532b8dcb0
hex206f4990

544164240 has 80 divisors (see below), whose sum is σ = 1689177600. Its totient is φ = 144915456.

The previous prime is 544164209. The next prime is 544164251. The reversal of 544164240 is 42461445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5441642402 = 592229440189555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 544164198 and 544164207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308481 + ... + 310239.

It is an arithmetic number, because the mean of its divisors is an integer number (21114720).

Almost surely, 2544164240 is an apocalyptic number.

It is an amenable number.

544164240 is an abundant number, since it is smaller than the sum of its proper divisors (1145013360).

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

544164240 is a wasteful number, since it uses less digits than its factorization.

544164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 544164240 is about 23327.3281796266. The cubic root of 544164240 is about 816.4131654302.

The spelling of 544164240 in words is "five hundred forty-four million, one hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1289 1759 2578 3518 3867 5156 5277 6445 7036 7734 8795 10312 10554 12890 14072 15468 17590 19335 20624 21108 25780 26385 28144 30936 35180 38670 42216 51560 52770 61872 70360 77340 84432 103120 105540 140720 154680 211080 309360 422160 2267351 4534702 6802053 9069404 11336755 13604106 18138808 22673510 27208212 34010265 36277616 45347020 54416424 68020530 90694040 108832848 136041060 181388080 272082120 544164240