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234450144 = 2532814063
BaseRepresentation
bin11011111100101…
…10110011100000
3121100011022010200
431332112303200
5440004401034
635133025200
75544536055
oct1576266340
9540138120
10234450144
11110382955
1266625200
13397599c6
14231cd02c
15158b1a99
hexdf96ce0

234450144 has 36 divisors (see below), whose sum is σ = 666718416. Its totient is φ = 78149952.

The previous prime is 234450143. The next prime is 234450163. The reversal of 234450144 is 441054432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234450143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 406744 + ... + 407319.

It is an arithmetic number, because the mean of its divisors is an integer number (18519956).

Almost surely, 2234450144 is an apocalyptic number.

234450144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234450144 is an abundant number, since it is smaller than the sum of its proper divisors (432268272).

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

234450144 is a wasteful number, since it uses less digits than its factorization.

234450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814079 (or 814068 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 234450144 is about 15311.7648884771. The cubic root of 234450144 is about 616.6189034673.

The spelling of 234450144 in words is "two hundred thirty-four million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 814063 1628126 2442189 3256252 4884378 6512504 7326567 9768756 13025008 14653134 19537512 26050016 29306268 39075024 58612536 78150048 117225072 234450144