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131340304 = 24232931397
BaseRepresentation
bin1111101010000…
…01100000010000
3100011010210000201
413311001200100
5232110342204
621011024544
73153242224
oct765014020
9304123021
10131340304
1168157a07
1237b9b154
1321297874
141362c784
15b7e59a4
hex7d41810

131340304 has 80 divisors (see below), whose sum is σ = 284267520. Its totient is φ = 58544640.

The previous prime is 131340289. The next prime is 131340311. The reversal of 131340304 is 403043131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330634 + ... + 331030.

It is an arithmetic number, because the mean of its divisors is an integer number (3553344).

Almost surely, 2131340304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131340304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142133760).

131340304 is an abundant number, since it is smaller than the sum of its proper divisors (152927216).

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

131340304 is a wasteful number, since it uses less digits than its factorization.

131340304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 131340304 is about 11460.3797493800. The cubic root of 131340304 is about 508.3147036321.

Adding to 131340304 its reverse (403043131), we get a palindrome (534383435).

The spelling of 131340304 in words is "one hundred thirty-one million, three hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 16 23 29 31 46 58 62 92 116 124 184 232 248 368 397 464 496 667 713 794 899 1334 1426 1588 1798 2668 2852 3176 3596 5336 5704 6352 7192 9131 10672 11408 11513 12307 14384 18262 20677 23026 24614 36524 41354 46052 49228 73048 82708 92104 98456 146096 165416 184208 196912 264799 283061 330832 356903 529598 566122 713806 1059196 1132244 1427612 2118392 2264488 2855224 4236784 4528976 5710448 8208769 16417538 32835076 65670152 131340304