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534402624 = 26372431321
BaseRepresentation
bin11111110110100…
…101011001000000
31101020120110120210
4133312211121000
52043301340444
6125010034120
716146230100
oct3766453100
91336513523
10534402624
11254724668
1212ab78940
138693bc92
1450d8d200
1531db17b9
hex1fda5640

534402624 has 168 divisors, whose sum is σ = 1684312608. Its totient is φ = 149022720.

The previous prime is 534402601. The next prime is 534402629. The reversal of 534402624 is 426204435.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 534402591 and 534402600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534402629) 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, 403884 + ... + 405204.

Almost surely, 2534402624 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 534402624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842156304).

534402624 is an abundant number, since it is smaller than the sum of its proper divisors (1149909984).

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

534402624 is a wasteful number, since it uses less digits than its factorization.

534402624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 534402624 is about 23117.1499973505. The cubic root of 534402624 is about 811.5018744293.

It can be divided in two parts, 534 and 402624, that multiplied together give a triangular number (215001216 = T20736).

The spelling of 534402624 in words is "five hundred thirty-four million, four hundred two thousand, six hundred twenty-four".