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324139392 = 27321959251
BaseRepresentation
bin10011010100011…
…111100110000000
3211120220222122200
4103110133212000
51130434430032
652055233200
711014065543
oct2324374600
9746828580
10324139392
11156a717a5
1290678800
1352200375
143109885a
151d6cb47c
hex1351f980

324139392 has 192 divisors, whose sum is σ = 1002456000. Its totient is φ = 100224000.

The previous prime is 324139369. The next prime is 324139393. The reversal of 324139392 is 293931423.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3241393922 = 210132690892259328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324139393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291267 + ... + 1291517.

It is an arithmetic number, because the mean of its divisors is an integer number (5221125).

Almost surely, 2324139392 is an apocalyptic number.

324139392 is a gapful number since it is divisible by the number (32) 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 324139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501228000).

324139392 is an abundant number, since it is smaller than the sum of its proper divisors (678316608).

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

324139392 is a wasteful number, since it uses less digits than its factorization.

324139392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 324139392 is about 18003.8715836344. The cubic root of 324139392 is about 686.9270277113.

The spelling of 324139392 in words is "three hundred twenty-four million, one hundred thirty-nine thousand, three hundred ninety-two".