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234123040 = 25511231303
BaseRepresentation
bin11011111010001…
…10111100100000
3121022112200102201
431331012330200
5434413414130
635122022544
75542004314
oct1575067440
9538480381
10234123040
1111017a118
12664a7a54
1339673b58
1423145b44
1515849bca
hexdf46f20

234123040 has 48 divisors (see below), whose sum is σ = 554033088. Its totient is φ = 93494016.

The previous prime is 234123037. The next prime is 234123047. The reversal of 234123040 is 40321432.

It is a junction number, because it is equal to n+sod(n) for n = 234122999 and 234123017.

It is not an unprimeable number, because it can be changed into a prime (234123047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179029 + ... + 180331.

It is an arithmetic number, because the mean of its divisors is an integer number (11542356).

Almost surely, 2234123040 is an apocalyptic number.

234123040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234123040 is an abundant number, since it is smaller than the sum of its proper divisors (319910048).

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

234123040 is a wasteful number, since it uses less digits than its factorization.

234123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 234123040 is about 15301.0797004656. The cubic root of 234123040 is about 616.3320018370.

Adding to 234123040 its reverse (40321432), we get a palindrome (274444472).

The spelling of 234123040 in words is "two hundred thirty-four million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1123 1303 2246 2606 4492 5212 5615 6515 8984 10424 11230 13030 17968 20848 22460 26060 35936 41696 44920 52120 89840 104240 179680 208480 1463269 2926538 5853076 7316345 11706152 14632690 23412304 29265380 46824608 58530760 117061520 234123040