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534690144 = 253211511613
BaseRepresentation
bin11111110111101…
…011100101100000
31101021010001222200
4133313223211200
52043340041034
6125020133200
716151535252
oct3767534540
91337101880
10534690144
1125490068a
1212b097200
1386a0cb01
1451025cd2
1531e1ba99
hex1fdeb960

534690144 has 72 divisors (see below), whose sum is σ = 1522789632. Its totient is φ = 177964800.

The previous prime is 534690089. The next prime is 534690151. The reversal of 534690144 is 441096435.

534690144 is a `hidden beast` number, since 53 + 469 + 0 + 144 = 666.

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

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 = 534690099 and 534690108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330682 + ... + 332294.

It is an arithmetic number, because the mean of its divisors is an integer number (21149856).

Almost surely, 2534690144 is an apocalyptic number.

It is an amenable number.

534690144 is an abundant number, since it is smaller than the sum of its proper divisors (988099488).

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

534690144 is a wasteful number, since it uses less digits than its factorization.

534690144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 534690144 is about 23123.3679207852. The cubic root of 534690144 is about 811.6473834374.

The spelling of 534690144 in words is "five hundred thirty-four million, six hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1151 1613 2302 3226 3453 4604 4839 6452 6906 9208 9678 10359 12904 13812 14517 18416 19356 20718 25808 27624 29034 36832 38712 41436 51616 55248 58068 77424 82872 110496 116136 154848 165744 232272 331488 464544 1856563 3713126 5569689 7426252 11139378 14852504 16709067 22278756 29705008 33418134 44557512 59410016 66836268 89115024 133672536 178230048 267345072 534690144