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324141900 = 223521924173
BaseRepresentation
bin10011010100100…
…000001101001100
3211120221010002120
4103110200031030
51130440020100
652055252540
711014106055
oct2324401514
9746833076
10324141900
11156a73675
129067a150
1352201554
143109972c
151d6cc0a0
hex1352034c

324141900 has 216 divisors, whose sum is σ = 1027840464. Its totient is φ = 78796800.

The previous prime is 324141871. The next prime is 324141931. The reversal of 324141900 is 9141423.

324141900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3241419002 = 210135942671220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4440264 + ... + 4440336.

Almost surely, 2324141900 is an apocalyptic number.

324141900 is a gapful number since it is divisible by the number (30) 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 324141900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513920232).

324141900 is an abundant number, since it is smaller than the sum of its proper divisors (703698564).

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

324141900 is a wasteful number, since it uses less digits than its factorization.

324141900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 324141900 is about 18003.9412351851. The cubic root of 324141900 is about 686.9287993859.

The spelling of 324141900 in words is "three hundred twenty-four million, one hundred forty-one thousand, nine hundred".