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534904384 = 2674592
BaseRepresentation
bin11111111000011…
…111111001000000
31101021111221212111
4133320133321000
52043413420014
6125024505104
716153420000
oct3770377100
91337457774
10534904384
11254a37643
1212b17b194
1386a86491
1451080000
1531e602c4
hex1fe1fe40

534904384 has 105 divisors (see below), whose sum is σ = 1259629307. Its totient is φ = 225359232.

The previous prime is 534904319. The next prime is 534904393. The reversal of 534904384 is 483409435.

It is a happy number.

The square root of 534904384 is 23128.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×5349043842 = 572245400044838912, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9066147 + ... + 9066205.

Almost surely, 2534904384 is an apocalyptic number.

534904384 is the 23128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534904384

534904384 is an abundant number, since it is smaller than the sum of its proper divisors (724724923).

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

534904384 is an frugal number, since it uses more digits than its factorization.

534904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The cubic root of 534904384 is about 811.7557727654.

The spelling of 534904384 in words is "five hundred thirty-four million, nine hundred four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 64 98 112 118 196 224 236 343 392 413 448 472 686 784 826 944 1372 1568 1652 1888 2401 2744 2891 3136 3304 3481 3776 4802 5488 5782 6608 6962 9604 10976 11564 13216 13924 19208 20237 21952 23128 24367 26432 27848 38416 40474 46256 48734 55696 76832 80948 92512 97468 111392 141659 153664 161896 170569 185024 194936 222784 283318 323792 341138 389872 566636 647584 682276 779744 1133272 1193983 1295168 1364552 1559488 2266544 2387966 2729104 4533088 4775932 5458208 8357881 9066176 9551864 10916416 16715762 19103728 33431524 38207456 66863048 76414912 133726096 267452192 534904384