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130434300 = 22345216103
BaseRepresentation
bin1111100011001…
…00010011111100
3100002102202020000
413301210103330
5231342344200
620535354300
73142446633
oct761442374
9302382200
10130434300
1167699247
1237822990
132103b379
141347451a
15b6b7300
hex7c644fc

130434300 has 90 divisors (see below), whose sum is σ = 422842728. Its totient is φ = 34780320.

The previous prime is 130434277. The next prime is 130434307. The reversal of 130434300 is 3434031.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434307) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 49 + ... + 16151.

Almost surely, 2130434300 is an apocalyptic number.

130434300 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 130434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211421364).

130434300 is an abundant number, since it is smaller than the sum of its proper divisors (292408428).

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

130434300 is a wasteful number, since it uses less digits than its factorization.

130434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16129 (or 16113 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 130434300 is about 11420.7836858948. The cubic root of 130434300 is about 507.1431968334.

Adding to 130434300 its reverse (3434031), we get a palindrome (133868331).

The spelling of 130434300 in words is "one hundred thirty million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 16103 32206 48309 64412 80515 96618 144927 161030 193236 241545 289854 322060 402575 434781 483090 579708 724635 805150 869562 966180 1207725 1304343 1449270 1610300 1739124 2173905 2415450 2608686 2898540 3623175 4347810 4830900 5217372 6521715 7246350 8695620 10869525 13043430 14492700 21739050 26086860 32608575 43478100 65217150 130434300