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230340792 = 233111396277
BaseRepresentation
bin11011011101010…
…11100010111000
3121001102112011110
431232223202320
5432431401132
634505000320
75464602333
oct1556534270
9531375143
10230340792
111090264a0
12651830a0
133894b436
142283d61a
151534e1cc
hexdbab8b8

230340792 has 64 divisors (see below), whose sum is σ = 632822400. Its totient is φ = 69287040.

The previous prime is 230340787. The next prime is 230340793. The reversal of 230340792 is 297043032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230340793) 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, 33558 + ... + 39834.

It is an arithmetic number, because the mean of its divisors is an integer number (9887850).

Almost surely, 2230340792 is an apocalyptic number.

230340792 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 230340792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316411200).

230340792 is an abundant number, since it is smaller than the sum of its proper divisors (402481608).

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

230340792 is a wasteful number, since it uses less digits than its factorization.

230340792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 230340792 is about 15176.9823087464. The cubic root of 230340792 is about 612.9950279334.

It can be divided in two parts, 230340 and 792, that added together give a palindrome (231132).

The spelling of 230340792 in words is "two hundred thirty million, three hundred forty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 139 264 278 417 556 834 1112 1529 1668 3058 3336 4587 6116 6277 9174 12232 12554 18348 18831 25108 36696 37662 50216 69047 75324 138094 150648 207141 276188 414282 552376 828564 872503 1657128 1745006 2617509 3490012 5235018 6980024 9597533 10470036 19195066 20940072 28792599 38390132 57585198 76780264 115170396 230340792