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234012672 = 21433232
BaseRepresentation
bin11011111001011…
…00000000000000
3121022100002001000
431330230000000
5434401401142
635115412000
75541034455
oct1574540000
9538302030
10234012672
11110104203
1266454000
133963584a
142311782c
151582714c
hexdf2c000

234012672 has 180 divisors, whose sum is σ = 724806040. Its totient is φ = 74612736.

The previous prime is 234012659. The next prime is 234012673. The reversal of 234012672 is 276210432.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (234012673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10174453 + ... + 10174475.

Almost surely, 2234012672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362403020).

234012672 is an abundant number, since it is smaller than the sum of its proper divisors (490793368).

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

234012672 is an frugal number, since it uses more digits than its factorization.

234012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 234012672 is about 15297.4727324483. The cubic root of 234012672 is about 616.2351382076.

Multiplying 234012672 by its sum of digits (27), we get a square (6318342144 = 794882).

234012672 divided by its sum of digits (27) gives a square (8667136 = 29442).

The spelling of 234012672 in words is "two hundred thirty-four million, twelve thousand, six hundred seventy-two".