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534974004 = 22335921423
BaseRepresentation
bin11111111000110…
…000111000110100
31101021122111101000
4133320300320310
52043423132004
6125030203300
716154126655
oct3770607064
91337574330
10534974004
11254a84984
1212b1b3530
1386aac086
145109b52c
1531e75c39
hex1fe30e34

534974004 has 72 divisors (see below), whose sum is σ = 1411867520. Its totient is φ = 175179024.

The previous prime is 534973973. The next prime is 534974023. The reversal of 534974004 is 400479435.

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

It is a self number, because there is not a number n which added to its sum of digits gives 534974004.

It is a congruent number.

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, 375237 + ... + 376659.

Almost surely, 2534974004 is an apocalyptic number.

534974004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534974004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705933760).

534974004 is an abundant number, since it is smaller than the sum of its proper divisors (876893516).

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

534974004 is a wasteful number, since it uses less digits than its factorization.

534974004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 534974004 is about 23129.5050530702. The cubic root of 534974004 is about 811.7909890189.

The spelling of 534974004 in words is "five hundred thirty-four million, nine hundred seventy-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1423 1593 2124 2846 3186 3481 4269 5692 6372 6962 8538 10443 12807 13924 17076 20886 25614 31329 38421 41772 51228 62658 76842 83957 93987 125316 153684 167914 187974 251871 335828 375948 503742 755613 1007484 1511226 2266839 3022452 4533678 4953463 9067356 9906926 14860389 19813852 29720778 44581167 59441556 89162334 133743501 178324668 267487002 534974004