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234573680 = 245111491789
BaseRepresentation
bin11011111101101…
…00111101110000
3121100101120121002
431332310331300
5440022324210
635135421132
75545562165
oct1576647560
9540346532
10234573680
11110457750
12666847a8
13397a0cc3
142322206c
15158d84a5
hexdfb4f70

234573680 has 80 divisors (see below), whose sum is σ = 599292000. Its totient is φ = 84679680.

The previous prime is 234573679. The next prime is 234573743. The reversal of 234573680 is 86375432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2345736802 = 110049622697484800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130226 + ... + 132014.

It is an arithmetic number, because the mean of its divisors is an integer number (7491150).

Almost surely, 2234573680 is an apocalyptic number.

234573680 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 234573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299646000).

234573680 is an abundant number, since it is smaller than the sum of its proper divisors (364718320).

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

234573680 is a wasteful number, since it uses less digits than its factorization.

234573680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 234573680 is about 15315.7983794512. The cubic root of 234573680 is about 616.7271869829.

The spelling of 234573680 in words is "two hundred thirty-four million, five hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 149 176 220 298 440 596 745 880 1192 1490 1639 1789 2384 2980 3278 3578 5960 6556 7156 8195 8945 11920 13112 14312 16390 17890 19679 26224 28624 32780 35780 39358 65560 71560 78716 98395 131120 143120 157432 196790 266561 314864 393580 533122 787160 1066244 1332805 1574320 2132488 2665610 2932171 4264976 5331220 5864342 10662440 11728684 14660855 21324880 23457368 29321710 46914736 58643420 117286840 234573680