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13834170 = 2325723137
BaseRepresentation
bin110100110001…
…011110111010
3222000211220200
4310301132322
512020143140
61212303030
7225405600
oct64613672
928024820
1013834170
1178998a9
124771a76
132b34acc
141ba1870
151334030
hexd317ba

13834170 has 72 divisors (see below), whose sum is σ = 41854644. Its totient is φ = 3161088.

The previous prime is 13834159. The next prime is 13834181. The reversal of 13834170 is 7143831.

It is an interprime number because it is at equal distance from previous prime (13834159) and next prime (13834181).

It can be written as a sum of positive squares in 2 ways, for example, as 12595401 + 1238769 = 3549^2 + 1113^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2842 + ... + 5978.

Almost surely, 213834170 is an apocalyptic number.

13834170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13834170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20927322).

13834170 is an abundant number, since it is smaller than the sum of its proper divisors (28020474).

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

13834170 is a wasteful number, since it uses less digits than its factorization.

13834170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13834170 is about 3719.4314081590. The cubic root of 13834170 is about 240.0588397400.

The spelling of 13834170 in words is "thirteen million, eight hundred thirty-four thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 3137 4410 6274 9411 15685 18822 21959 28233 31370 43918 47055 56466 65877 94110 109795 131754 141165 153713 197631 219590 282330 307426 329385 395262 461139 658770 768565 922278 988155 1383417 1537130 1976310 2305695 2766834 4611390 6917085 13834170