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234864630 = 233571121379
BaseRepresentation
bin11011111111110…
…11111111110110
3121100221100201000
431333323333312
5440111132010
635145544130
75551213350
oct1577737766
9540840630
10234864630
11110636300
12667a5046
1339873570
142329a0d0
15159447c0
hexdffbff6

234864630 has 384 divisors, whose sum is σ = 858009600. Its totient is φ = 44478720.

The previous prime is 234864629. The next prime is 234864631. The reversal of 234864630 is 36468432.

It is a happy number.

234864630 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 646 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (234864629) and next prime (234864631).

It is a super-2 number, since 2×2348646302 = 110322788850073800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234864631) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2972931 + ... + 2973009.

It is an arithmetic number, because the mean of its divisors is an integer number (2234400).

Almost surely, 2234864630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234864630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429004800).

234864630 is an abundant number, since it is smaller than the sum of its proper divisors (623144970).

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

234864630 is a wasteful number, since it uses less digits than its factorization.

234864630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 234864630 is about 15325.2937981626. The cubic root of 234864630 is about 616.9820644538.

The spelling of 234864630 in words is "two hundred thirty-four million, eight hundred sixty-four thousand, six hundred thirty".