Search a number
-
+
324142320 = 24351350593
BaseRepresentation
bin10011010100100…
…000010011110000
3211120221010200010
4103110200103300
51130440023240
652055254520
711014110225
oct2324402360
9746833603
10324142320
11156a73a17
129067a440
13522017b8
143109994c
151d6cc280
hex135204f0

324142320 has 40 divisors (see below), whose sum is σ = 1004841936. Its totient is φ = 86437888.

The previous prime is 324142303. The next prime is 324142321. The reversal of 324142320 is 23241423.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3241423202 = 210136487229964800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324142321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675057 + ... + 675536.

Almost surely, 2324142320 is an apocalyptic number.

324142320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

324142320 is an abundant number, since it is smaller than the sum of its proper divisors (680699616).

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

324142320 is a wasteful number, since it uses less digits than its factorization.

324142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350609 (or 1350603 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 324142320 is about 18003.9528992941. The cubic root of 324142320 is about 686.9290960769.

Adding to 324142320 its reverse (23241423), we get a palindrome (347383743).

The spelling of 324142320 in words is "three hundred twenty-four million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1350593 2701186 4051779 5402372 6752965 8103558 10804744 13505930 16207116 20258895 21609488 27011860 32414232 40517790 54023720 64828464 81035580 108047440 162071160 324142320