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323120340 = 22345199457
BaseRepresentation
bin10011010000100…
…110110011010100
3211112000012210000
4103100212303110
51130204322330
652021331300
711002322544
oct2320466324
9745005700
10323120340
11156436104
1290266b30
1351c3458a
1430cb1324
151d579560
hex13426cd4

323120340 has 60 divisors (see below), whose sum is σ = 1013645556. Its totient is φ = 86164992.

The previous prime is 323120321. The next prime is 323120341. The reversal of 323120340 is 43021323.

323120340 is a `hidden beast` number, since 323 + 1 + 2 + 0 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84603204 + 238517136 = 9198^2 + 15444^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (323120341) 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 19 ways as a sum of consecutive naturals, for example, 98109 + ... + 101348.

Almost surely, 2323120340 is an apocalyptic number.

323120340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323120340 is an abundant number, since it is smaller than the sum of its proper divisors (690525216).

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

323120340 is a wasteful number, since it uses less digits than its factorization.

323120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199478 (or 199467 counting only the distinct ones).

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

The square root of 323120340 is about 17975.5483921910. The cubic root of 323120340 is about 686.2064023185.

Adding to 323120340 its reverse (43021323), we get a palindrome (366141663).

The spelling of 323120340 in words is "three hundred twenty-three million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 199457 398914 598371 797828 997285 1196742 1795113 1994570 2393484 2991855 3590226 3989140 5385339 5983710 7180452 8975565 10770678 11967420 16156017 17951130 21541356 26926695 32312034 35902260 53853390 64624068 80780085 107706780 161560170 323120340