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234155040 = 25357227307
BaseRepresentation
bin11011111010011…
…10110000100000
3121022121022022220
431331032300200
5434420430130
635122431040
75542166520
oct1575166040
9538538286
10234155040
111101a1169
1266502480
13396855a2
1423153680
1515854410
hexdf4ec20

234155040 has 192 divisors, whose sum is σ = 849429504. Its totient is φ = 53111808.

The previous prime is 234155039. The next prime is 234155063. The reversal of 234155040 is 40551432.

234155040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 234155040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762567 + ... + 762873.

It is an arithmetic number, because the mean of its divisors is an integer number (4424112).

Almost surely, 2234155040 is an apocalyptic number.

234155040 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 234155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424714752).

234155040 is an abundant number, since it is smaller than the sum of its proper divisors (615274464).

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

234155040 is a wasteful number, since it uses less digits than its factorization.

234155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 234155040 is about 15302.1253425790. The cubic root of 234155040 is about 616.3600806990.

The spelling of 234155040 in words is "two hundred thirty-four million, one hundred fifty-five thousand, forty".