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534634992 = 2435199691
BaseRepresentation
bin11111110111011…
…110000111110000
31101021000021100000
4133313132013300
52043331304432
6125015030000
716151215413
oct3767360760
91337007300
10534634992
11254873201
1212b06b300
13869c0988
145100db7a
1531e0a57c
hex1fdde1f0

534634992 has 120 divisors (see below), whose sum is σ = 1561705600. Its totient is φ = 177059520.

The previous prime is 534634967. The next prime is 534634999. The reversal of 534634992 is 299436435.

534634992 is a `hidden beast` number, since 5 + 3 + 4 + 634 + 9 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534634999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773367 + ... + 774057.

Almost surely, 2534634992 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 534634992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780852800).

534634992 is an abundant number, since it is smaller than the sum of its proper divisors (1027070608).

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

534634992 is a wasteful number, since it uses less digits than its factorization.

534634992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 895 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 534634992 is about 23122.1753301890. The cubic root of 534634992 is about 811.6194759872.

The spelling of 534634992 in words is "five hundred thirty-four million, six hundred thirty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 199 216 243 324 398 432 486 597 648 691 796 972 1194 1296 1382 1592 1791 1944 2073 2388 2764 3184 3582 3888 4146 4776 5373 5528 6219 7164 8292 9552 10746 11056 12438 14328 16119 16584 18657 21492 24876 28656 32238 33168 37314 42984 48357 49752 55971 64476 74628 85968 96714 99504 111942 128952 137509 149256 167913 193428 223884 257904 275018 298512 335826 386856 412527 447768 550036 671652 773712 825054 895536 1100072 1237581 1343304 1650108 2200144 2475162 2686608 3300216 3712743 4950324 6600432 7425486 9900648 11138229 14850972 19801296 22276458 29701944 33414687 44552916 59403888 66829374 89105832 133658748 178211664 267317496 534634992