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234924480 = 26325743271
BaseRepresentation
bin11100000000010…
…10100111000000
3121101001101210200
432000022213000
5440120040410
635151125200
75551553010
oct1600124700
9541041720
10234924480
1111067726a
1266813800
133989488b
14232b3c40
15159573c0
hexe00a9c0

234924480 has 336 divisors, whose sum is σ = 948440064. Its totient is φ = 52254720.

The previous prime is 234924463. The next prime is 234924497. The reversal of 234924480 is 84429432.

It is an interprime number because it is at equal distance from previous prime (234924463) and next prime (234924497).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2349244802 = 110379022606540800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866745 + ... + 867015.

Almost surely, 2234924480 is an apocalyptic number.

234924480 is a gapful number since it is divisible by the number (20) 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 234924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474220032).

234924480 is an abundant number, since it is smaller than the sum of its proper divisors (713515584).

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

234924480 is a wasteful number, since it uses less digits than its factorization.

234924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 234924480 is about 15327.2463280264. The cubic root of 234924480 is about 617.0344680311.

It can be divided in two parts, 23492 and 4480, that added together give a palindrome (27972).

The spelling of 234924480 in words is "two hundred thirty-four million, nine hundred twenty-four thousand, four hundred eighty".