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13354304 = 263153127
BaseRepresentation
bin110010111100…
…010101000000
3221010110122212
4302330111000
511404314204
61154121252
7221336555
oct62742500
927113585
1013354304
1175a1317
124580228
1329c7572
141ab8a2c
15128bc6e
hexcbc540

13354304 has 56 divisors (see below), whose sum is σ = 28090368. Its totient is φ = 6289920.

The previous prime is 13354301. The next prime is 13354307. The reversal of 13354304 is 40345331.

It is an interprime number because it is at equal distance from previous prime (13354301) and next prime (13354307).

It is a self number, because there is not a number n which added to its sum of digits gives 13354304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105089 + ... + 105215.

Almost surely, 213354304 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 13354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045184).

13354304 is an abundant number, since it is smaller than the sum of its proper divisors (14736064).

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

13354304 is a wasteful number, since it uses less digits than its factorization.

13354304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 13354304 is about 3654.3541152986. The cubic root of 13354304 is about 237.2504725539.

Adding to 13354304 its reverse (40345331), we get a palindrome (53699635).

The spelling of 13354304 in words is "thirteen million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 127 212 248 254 424 496 508 848 992 1016 1643 1696 1984 2032 3286 3392 3937 4064 6572 6731 7874 8128 13144 13462 15748 26288 26924 31496 52576 53848 62992 105152 107696 125984 208661 215392 251968 417322 430784 834644 1669288 3338576 6677152 13354304