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234503808 = 27372112103
BaseRepresentation
bin11011111101000…
…11111010000000
3121100021000202020
431332203322000
5440013110213
635134121440
75545151400
oct1576437200
9540230666
10234503808
1111040a200
1266650280
1339778266
1423204800
15158c2923
hexdfa3e80

234503808 has 288 divisors, whose sum is σ = 804192480. Its totient is φ = 60318720.

The previous prime is 234503803. The next prime is 234503827. The reversal of 234503808 is 808305432.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (234503803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2276685 + ... + 2276787.

It is an arithmetic number, because the mean of its divisors is an integer number (2792335).

Almost surely, 2234503808 is an apocalyptic number.

234503808 is a gapful number since it is divisible by the number (28) 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 234503808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402096240).

234503808 is an abundant number, since it is smaller than the sum of its proper divisors (569688672).

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

234503808 is a wasteful number, since it uses less digits than its factorization.

234503808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 234503808 is about 15313.5171662163. The cubic root of 234503808 is about 616.6659464645.

The spelling of 234503808 in words is "two hundred thirty-four million, five hundred three thousand, eight hundred eight".