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234050240 = 2654311697
BaseRepresentation
bin11011111001101…
…01001011000000
3121022101222120102
431330311023000
5434404101430
635120301532
75541252134
oct1574651300
9538358512
10234050240
1111012a456
12664718a8
1339649988
14231273c4
1515833345
hexdf352c0

234050240 has 56 divisors (see below), whose sum is σ = 558954432. Its totient is φ = 93347840.

The previous prime is 234050209. The next prime is 234050249. The reversal of 234050240 is 42050432.

234050240 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 (20).

It is not an unprimeable number, because it can be changed into a prime (234050249) 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, 137072 + ... + 138768.

Almost surely, 2234050240 is an apocalyptic number.

234050240 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 234050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279477216).

234050240 is an abundant number, since it is smaller than the sum of its proper divisors (324904192).

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

234050240 is a wasteful number, since it uses less digits than its factorization.

234050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 234050240 is about 15298.7005984168. The cubic root of 234050240 is about 616.2681128933.

The spelling of 234050240 in words is "two hundred thirty-four million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 431 862 1697 1724 2155 3394 3448 4310 6788 6896 8485 8620 13576 13792 16970 17240 27152 27584 33940 34480 54304 67880 68960 108608 135760 137920 271520 543040 731407 1462814 2925628 3657035 5851256 7314070 11702512 14628140 23405024 29256280 46810048 58512560 117025120 234050240