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130834350 = 232522312641
BaseRepresentation
bin1111100110001…
…01111110101110
3100010012001222200
413303011332232
5231443144400
620552122330
73146034153
oct763057656
9303161880
10130834350
1167941869
12379963a6
132114b49a
141353a22a
15b745b00
hex7cc5fae

130834350 has 72 divisors (see below), whose sum is σ = 366820272. Its totient is φ = 33369600.

The previous prime is 130834339. The next prime is 130834381. The reversal of 130834350 is 53438031.

It is a happy number.

130834350 is a `hidden beast` number, since 1 + 308 + 3 + 4 + 350 = 666.

It is a congruent number.

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, 4030 + ... + 16670.

It is an arithmetic number, because the mean of its divisors is an integer number (5094726).

Almost surely, 2130834350 is an apocalyptic number.

130834350 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 130834350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183410136).

130834350 is an abundant number, since it is smaller than the sum of its proper divisors (235985922).

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

130834350 is a wasteful number, since it uses less digits than its factorization.

130834350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12682 (or 12674 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130834350 is about 11438.2843993319. The cubic root of 130834350 is about 507.6611474306.

The spelling of 130834350 in words is "one hundred thirty million, eight hundred thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 5175 10350 12641 25282 37923 63205 75846 113769 126410 189615 227538 290743 316025 379230 568845 581486 632050 872229 948075 1137690 1453715 1744458 1896150 2616687 2844225 2907430 4361145 5233374 5688450 7268575 8722290 13083435 14537150 21805725 26166870 43611450 65417175 130834350