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234679680 = 27365503
BaseRepresentation
bin11011111110011…
…10110110000000
3121100120222000000
431333032312000
5440034222210
635142000000
75546513214
oct1577166600
9540528000
10234679680
1111051a354
1266716000
133980a321
142324c944
1515909ac0
hexdfced80

234679680 has 224 divisors, whose sum is σ = 842834160. Its totient is φ = 62456832.

The previous prime is 234679657. The next prime is 234679699. The reversal of 234679680 is 86976432.

234679680 is a `hidden beast` number, since 23 + 467 + 96 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466309 + ... + 466811.

Almost surely, 2234679680 is an apocalyptic number.

234679680 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 234679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421417080).

234679680 is an abundant number, since it is smaller than the sum of its proper divisors (608154480).

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

234679680 is an frugal number, since it uses more digits than its factorization.

234679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 234679680 is about 15319.2584676935. The cubic root of 234679680 is about 616.8200692951.

The spelling of 234679680 in words is "two hundred thirty-four million, six hundred seventy-nine thousand, six hundred eighty".