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234663040 = 275438527
BaseRepresentation
bin11011111110010…
…10110010000000
3121100120010011201
431333022302000
5440033204130
635141350544
75546413543
oct1577126200
9540503151
10234663040
111105088a7
1266708454
1339802891
142324685a
1515904bca
hexdfcac80

234663040 has 64 divisors (see below), whose sum is σ = 574104960. Its totient is φ = 91671552.

The previous prime is 234663031. The next prime is 234663067. The reversal of 234663040 is 40366432.

234663040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23257 + ... + 31783.

It is an arithmetic number, because the mean of its divisors is an integer number (8970390).

Almost surely, 2234663040 is an apocalyptic number.

234663040 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 234663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287052480).

234663040 is an abundant number, since it is smaller than the sum of its proper divisors (339441920).

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

234663040 is an equidigital number, since it uses as much as digits as its factorization.

234663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8589 (or 8577 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 234663040 is about 15318.7153508380. The cubic root of 234663040 is about 616.8054903755.

The spelling of 234663040 in words is "two hundred thirty-four million, six hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 320 344 430 640 688 860 1376 1720 2752 3440 5504 6880 8527 13760 17054 27520 34108 42635 68216 85270 136432 170540 272864 341080 366661 545728 682160 733322 1091456 1364320 1466644 1833305 2728640 2933288 3666610 5457280 5866576 7333220 11733152 14666440 23466304 29332880 46932608 58665760 117331520 234663040