Search a number
-
+
324274080 = 253513157331
BaseRepresentation
bin10011010101000…
…000011110100000
3211121011211102010
4103111000132200
51131003232310
652102152520
711015166324
oct2325003640
9747154363
10324274080
11157053a09
1290722740
1352249770
14310d1984
151d706320
hex135407a0

324274080 has 192 divisors, whose sum is σ = 1110388608. Its totient is φ = 79073280.

The previous prime is 324274061. The next prime is 324274091. The reversal of 324274080 is 80472423.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 979515 + ... + 979845.

It is an arithmetic number, because the mean of its divisors is an integer number (5783274).

Almost surely, 2324274080 is an apocalyptic number.

324274080 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 324274080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555194304).

324274080 is an abundant number, since it is smaller than the sum of its proper divisors (786114528).

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

324274080 is a wasteful number, since it uses less digits than its factorization.

324274080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 324274080 is about 18007.6117239350. The cubic root of 324274080 is about 687.0221596390.

The spelling of 324274080 in words is "three hundred twenty-four million, two hundred seventy-four thousand, eighty".