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534718368 = 25331932573
BaseRepresentation
bin11111110111110…
…010011110100000
31101021011111201000
4133313302132200
52043341441433
6125020512000
716152013452
oct3767623640
91337144630
10534718368
1125491a908
1212b0ab600
1386a1c902
14510322d2
1531e25113
hex1fdf27a0

534718368 has 96 divisors (see below), whose sum is σ = 1641729600. Its totient is φ = 168853248.

The previous prime is 534718363. The next prime is 534718397. The reversal of 534718368 is 863817435.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (534718363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130 + ... + 32702.

It is an arithmetic number, because the mean of its divisors is an integer number (17101350).

Almost surely, 2534718368 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 534718368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820864800).

534718368 is an abundant number, since it is smaller than the sum of its proper divisors (1107011232).

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

534718368 is a wasteful number, since it uses less digits than its factorization.

534718368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32611 (or 32597 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 534718368 is about 23123.9782044526. The cubic root of 534718368 is about 811.6616643145.

The spelling of 534718368 in words is "five hundred thirty-four million, seven hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 32573 65146 97719 130292 195438 260584 293157 390876 521168 586314 618887 781752 879471 1042336 1172628 1237774 1563504 1758942 1856661 2345256 2475548 3127008 3517884 3713322 4690512 4951096 5569983 7035768 7426644 9381024 9902192 11139966 14071536 14853288 16709949 19804384 22279932 28143072 29706576 33419898 44559864 59413152 66839796 89119728 133679592 178239456 267359184 534718368