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234407712 = 253711191669
BaseRepresentation
bin11011111100011…
…00011100100000
3121100002010221010
431332030130200
5440002021322
635132100520
75544301260
oct1576143440
9540063833
10234407712
11110353a90
1266604740
13397435b6
14231bb7a0
15158a420c
hexdf8c720

234407712 has 192 divisors, whose sum is σ = 808012800. Its totient is φ = 57646080.

The previous prime is 234407699. The next prime is 234407737. The reversal of 234407712 is 217704432.

234407712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 234407712.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139614 + ... + 141282.

It is an arithmetic number, because the mean of its divisors is an integer number (4208400).

Almost surely, 2234407712 is an apocalyptic number.

234407712 is a gapful number since it is divisible by the number (22) 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 234407712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404006400).

234407712 is an abundant number, since it is smaller than the sum of its proper divisors (573605088).

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

234407712 is a wasteful number, since it uses less digits than its factorization.

234407712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 234407712 is about 15310.3792245653. The cubic root of 234407712 is about 616.5817015964.

The spelling of 234407712 in words is "two hundred thirty-four million, four hundred seven thousand, seven hundred twelve".