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504299340 = 223253138951
BaseRepresentation
bin11110000011101…
…111111101001100
31022010221001122100
4132003233331030
52013100034330
6122012515100
715332321316
oct3603577514
91263831570
10504299340
11239733616
12120a7ba90
138062bc9c
144ad947b6
152e417060
hex1e0eff4c

504299340 has 72 divisors (see below), whose sum is σ = 1534766688. Its totient is φ = 134035200.

The previous prime is 504299333. The next prime is 504299371. The reversal of 504299340 is 43992405.

504299340 is a `hidden beast` number, since 504 + 29 + 93 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 504299295 and 504299304.

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, 51865 + ... + 60815.

It is an arithmetic number, because the mean of its divisors is an integer number (21316204).

Almost surely, 2504299340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504299340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767383344).

504299340 is an abundant number, since it is smaller than the sum of its proper divisors (1030467348).

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

504299340 is a wasteful number, since it uses less digits than its factorization.

504299340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9279 (or 9274 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 504299340 is about 22456.6101627116. The cubic root of 504299340 is about 795.9689621156.

The spelling of 504299340 in words is "five hundred four million, two hundred ninety-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1252 1565 1878 2817 3130 3756 4695 5634 6260 8951 9390 11268 14085 17902 18780 26853 28170 35804 44755 53706 56340 80559 89510 107412 134265 161118 179020 268530 322236 402795 537060 805590 1611180 2801663 5603326 8404989 11206652 14008315 16809978 25214967 28016630 33619956 42024945 50429934 56033260 84049890 100859868 126074835 168099780 252149670 504299340