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13429314 = 234194363
BaseRepresentation
bin110011001110…
…101001000010
3221021021120000
4303032221002
511414214224
61155500430
7222101343
oct63165102
927237500
1013429314
117642708
1245b7716
132a22752
141ad80ca
1512a40c9
hexccea42

13429314 has 40 divisors (see below), whose sum is σ = 31682640. Its totient is φ = 4239864.

The previous prime is 13429307. The next prime is 13429321. The reversal of 13429314 is 41392431.

13429314 is a `hidden beast` number, since 1 + 342 + 9 + 314 = 666.

It is an interprime number because it is at equal distance from previous prime (13429307) and next prime (13429321).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 897 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (792066).

Almost surely, 213429314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13429314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15841320).

13429314 is an abundant number, since it is smaller than the sum of its proper divisors (18253326).

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

13429314 is a wasteful number, since it uses less digits than its factorization.

13429314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4387 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13429314 is about 3664.6028434197. The cubic root of 13429314 is about 237.6938487541.

The spelling of 13429314 in words is "thirteen million, four hundred twenty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 4363 8726 13089 26178 39267 78534 82897 117801 165794 235602 248691 353403 497382 706806 746073 1492146 2238219 4476438 6714657 13429314