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234112788 = 223372134183
BaseRepresentation
bin11011111010001…
…00011100010100
3121022112011101000
431331010130110
5434413102123
635121503300
75541632400
oct1575043424
9538464330
10234112788
11110172448
12664a1b30
133966c2a0
1423142100
1515846b43
hexdf44714

234112788 has 288 divisors, whose sum is σ = 788296320. Its totient is φ = 59512320.

The previous prime is 234112783. The next prime is 234112817. The reversal of 234112788 is 887211432.

234112788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234112783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2820595 + ... + 2820677.

It is an arithmetic number, because the mean of its divisors is an integer number (2737140).

Almost surely, 2234112788 is an apocalyptic number.

234112788 is a gapful number since it is divisible by the number (28) 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 234112788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394148160).

234112788 is an abundant number, since it is smaller than the sum of its proper divisors (554183532).

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

234112788 is a wasteful number, since it uses less digits than its factorization.

234112788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 234112788 is about 15300.7446877595. The cubic root of 234112788 is about 616.3230055305.

It can be divided in two parts, 2341 and 12788, that added together give a square (15129 = 1232).

The spelling of 234112788 in words is "two hundred thirty-four million, one hundred twelve thousand, seven hundred eighty-eight".