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1349964 = 2232711487
BaseRepresentation
bin101001001100101001100
32112120210200
411021211030
5321144324
644533500
714321520
oct5114514
92476720
101349964
11842280
12551290
133835c5
14271d80
151b9ec9
hex14994c

1349964 has 72 divisors (see below), whose sum is σ = 4263168. Its totient is φ = 349920.

The previous prime is 1349947. The next prime is 1349977. The reversal of 1349964 is 4699431.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2529 + ... + 3015.

21349964 is an apocalyptic number.

1349964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131584).

1349964 is an abundant number, since it is smaller than the sum of its proper divisors (2913204).

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

1349964 is a wasteful number, since it uses less digits than its factorization.

1349964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 510 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1349964 is about 1161.8795118256. The cubic root of 1349964 is about 110.5199625421.

The spelling of 1349964 in words is "one million, three hundred forty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 487 693 924 974 1386 1461 1948 2772 2922 3409 4383 5357 5844 6818 8766 10227 10714 13636 16071 17532 20454 21428 30681 32142 37499 40908 48213 61362 64284 74998 96426 112497 122724 149996 192852 224994 337491 449988 674982 1349964