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234232040 = 23576431301
BaseRepresentation
bin11011111011000…
…01100011101000
3121022202012221202
431331201203220
5434430411130
635124223332
75542640150
oct1575414350
9538665852
10234232040
11110243aa9
126653ab48
13396b1653
1423173760
151586c145
hexdf618e8

234232040 has 64 divisors (see below), whose sum is σ = 603711360. Its totient is φ = 80121600.

The previous prime is 234232039. The next prime is 234232049. The reversal of 234232040 is 40232432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (234232049) 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, 179390 + ... + 180690.

It is an arithmetic number, because the mean of its divisors is an integer number (9432990).

Almost surely, 2234232040 is an apocalyptic number.

234232040 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 234232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301855680).

234232040 is an abundant number, since it is smaller than the sum of its proper divisors (369479320).

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

234232040 is a wasteful number, since it uses less digits than its factorization.

234232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 234232040 is about 15304.6411261421. The cubic root of 234232040 is about 616.4276349783.

Adding to 234232040 its reverse (40232432), we get a palindrome (274464472).

The spelling of 234232040 in words is "two hundred thirty-four million, two hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 643 1286 1301 2572 2602 3215 4501 5144 5204 6430 6505 9002 9107 10408 12860 13010 18004 18214 22505 25720 26020 36008 36428 45010 45535 52040 72856 90020 91070 180040 182140 364280 836543 1673086 3346172 4182715 5855801 6692344 8365430 11711602 16730860 23423204 29279005 33461720 46846408 58558010 117116020 234232040