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234713920 = 2657214969
BaseRepresentation
bin11011111110101…
…11001101000000
3121100122200222011
431333113031000
5440041321140
635142422304
75550015100
oct1577271500
9540580864
10234713920
11110543051
1266731994
133981ca9c
142325b200
1515914cea
hexdfd7340

234713920 has 84 divisors (see below), whose sum is σ = 650206980. Its totient is φ = 80467968.

The previous prime is 234713893. The next prime is 234713987. The reversal of 234713920 is 29317432.

It can be written as a sum of positive squares in 2 ways, for example, as 25969216 + 208744704 = 5096^2 + 14448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8196 + ... + 23164.

Almost surely, 2234713920 is an apocalyptic number.

234713920 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 234713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325103490).

234713920 is an abundant number, since it is smaller than the sum of its proper divisors (415493060).

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

234713920 is a wasteful number, since it uses less digits than its factorization.

234713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15000 (or 14983 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 234713920 is about 15320.3759744988. The cubic root of 234713920 is about 616.8500660579.

The spelling of 234713920 in words is "two hundred thirty-four million, seven hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 14969 15680 29938 59876 74845 104783 119752 149690 209566 239504 299380 419132 479008 523915 598760 733481 838264 958016 1047830 1197520 1466962 1676528 2095660 2395040 2933924 3353056 3667405 4191320 4790080 5867848 6706112 7334810 8382640 11735696 14669620 16765280 23471392 29339240 33530560 46942784 58678480 117356960 234713920