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234643992 = 233112813163
BaseRepresentation
bin11011111110001…
…10001000011000
3121100112011001020
431333012020120
5440032101432
635141122440
75546304162
oct1577061030
9540464036
10234643992
111104a5560
12666b9420
13397c6ccb
142323d932
15158ee22c
hexdfc6218

234643992 has 64 divisors (see below), whose sum is σ = 642418560. Its totient is φ = 70828800.

The previous prime is 234643963. The next prime is 234643993. The reversal of 234643992 is 299346432.

234643992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234643993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72603 + ... + 75765.

It is an arithmetic number, because the mean of its divisors is an integer number (10037790).

Almost surely, 2234643992 is an apocalyptic number.

234643992 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 234643992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321209280).

234643992 is an abundant number, since it is smaller than the sum of its proper divisors (407774568).

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

234643992 is a wasteful number, since it uses less digits than its factorization.

234643992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3460 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 234643992 is about 15318.0936150684. The cubic root of 234643992 is about 616.7888008720.

The spelling of 234643992 in words is "two hundred thirty-four million, six hundred forty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 281 562 843 1124 1686 2248 3091 3163 3372 6182 6326 6744 9273 9489 12364 12652 18546 18978 24728 25304 34793 37092 37956 69586 74184 75912 104379 139172 208758 278344 417516 835032 888803 1777606 2666409 3555212 5332818 7110424 9776833 10665636 19553666 21331272 29330499 39107332 58660998 78214664 117321996 234643992