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13433664 = 263313761
BaseRepresentation
bin110011001111…
…101101000000
3221021111112010
4303033231000
511414334124
61155532520
7222120126
oct63175500
927244463
1013433664
117645a02
1245ba140
132a2471a
141ad9916
1512a5529
hexccfb40

13433664 has 112 divisors (see below), whose sum is σ = 38299136. Its totient is φ = 4147200.

The previous prime is 13433663. The next prime is 13433671. The reversal of 13433664 is 46633431.

13433664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15552) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13433663) 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, 220194 + ... + 220254.

Almost surely, 213433664 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 13433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19149568).

13433664 is an abundant number, since it is smaller than the sum of its proper divisors (24865472).

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

13433664 is a wasteful number, since it uses less digits than its factorization.

13433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 13433664 is about 3665.1963112499. The cubic root of 13433664 is about 237.7195104427.

The spelling of 13433664 in words is "thirteen million, four hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 61 62 64 74 93 96 111 122 124 148 183 186 192 222 244 248 296 366 372 444 488 496 592 732 744 888 976 992 1147 1184 1464 1488 1776 1891 1952 1984 2257 2294 2368 2928 2976 3441 3552 3782 3904 4514 4588 5673 5856 5952 6771 6882 7104 7564 9028 9176 11346 11712 13542 13764 15128 18056 18352 22692 27084 27528 30256 36112 36704 45384 54168 55056 60512 69967 72224 73408 90768 108336 110112 121024 139934 144448 181536 209901 216672 220224 279868 363072 419802 433344 559736 839604 1119472 1679208 2238944 3358416 4477888 6716832 13433664