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234788640 = 253529101167
BaseRepresentation
bin11011111111010…
…01011100100000
3121100210111110120
431333221130200
5440101214030
635144200240
75550445662
oct1577513440
9540714416
10234788640
111105941a9
1266769080
1339847ab8
142327a532
151592c010
hexdfe9720

234788640 has 192 divisors, whose sum is σ = 777288960. Its totient is φ = 59494400.

The previous prime is 234788639. The next prime is 234788651. The reversal of 234788640 is 46887432.

It is a junction number, because it is equal to n+sod(n) for n = 234788592 and 234788601.

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, 1405837 + ... + 1406003.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2234788640 is an apocalyptic number.

234788640 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 234788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388644480).

234788640 is an abundant number, since it is smaller than the sum of its proper divisors (542500320).

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

234788640 is a wasteful number, since it uses less digits than its factorization.

234788640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 234788640 is about 15322.8143629034. The cubic root of 234788640 is about 616.9155161554.

The spelling of 234788640 in words is "two hundred thirty-four million, seven hundred eighty-eight thousand, six hundred forty".