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534412224 = 2632311732
BaseRepresentation
bin11111110110100…
…111101111000000
31101020120221202100
4133312213233000
52043302142344
6125010150400
716146300063
oct3766475700
91336527670
10534412224
112547308a5
1212ab82400
1386943468
1450d928da
1531db4569
hex1fda7bc0

534412224 has 126 divisors (see below), whose sum is σ = 1590401696. Its totient is φ = 171394560.

The previous prime is 534412217. The next prime is 534412237. The reversal of 534412224 is 422214435.

534412224 is a `hidden beast` number, since 534 + 4 + 122 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3089002 + ... + 3089174.

Almost surely, 2534412224 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 534412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795200848).

534412224 is an abundant number, since it is smaller than the sum of its proper divisors (1055989472).

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

534412224 is a wasteful number, since it uses less digits than its factorization.

534412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 209 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 534412224 is about 23117.3576344703. The cubic root of 534412224 is about 811.5067336690.

Adding to 534412224 its reverse (422214435), we get a palindrome (956626659).

The spelling of 534412224 in words is "five hundred thirty-four million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 173 186 192 248 279 288 346 372 496 519 558 576 692 744 992 1038 1116 1384 1488 1557 1984 2076 2232 2768 2976 3114 4152 4464 5363 5536 5952 6228 8304 8928 10726 11072 12456 16089 16608 17856 21452 24912 29929 32178 33216 42904 48267 49824 59858 64356 85808 89787 96534 99648 119716 128712 171616 179574 193068 239432 257424 269361 343232 359148 386136 478864 514848 538722 718296 772272 927799 957728 1029696 1077444 1436592 1544544 1855598 1915456 2154888 2783397 2873184 3089088 3711196 4309776 5566794 5746368 7422392 8350191 8619552 11133588 14844784 16700382 17239104 22267176 29689568 33400764 44534352 59379136 66801528 89068704 133603056 178137408 267206112 534412224