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13834300 = 2252373739
BaseRepresentation
bin110100110001…
…100000111100
3222000212002111
4310301200330
512020144200
61212303404
7225406144
oct64614074
928025074
1013834300
117899a07
124771b64
132b34b9c
141ba1924
1513340ba
hexd3183c

13834300 has 36 divisors (see below), whose sum is σ = 30840040. Its totient is φ = 5382720.

The previous prime is 13834283. The next prime is 13834307. The reversal of 13834300 is 343831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13834307) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1831 + ... + 5569.

Almost surely, 213834300 is an apocalyptic number.

13834300 is a gapful number since it is divisible by the number (10) 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 13834300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420020).

13834300 is an abundant number, since it is smaller than the sum of its proper divisors (17005740).

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

13834300 is a wasteful number, since it uses less digits than its factorization.

13834300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 13834300 is about 3719.4488839074. The cubic root of 13834300 is about 240.0595916837.

The spelling of 13834300 in words is "thirteen million, eight hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 3739 7478 14956 18695 37390 74780 93475 138343 186950 276686 373900 553372 691715 1383430 2766860 3458575 6917150 13834300