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234380496 = 243717371109
BaseRepresentation
bin11011111100001…
…01110011010000
3121100000202121010
431332011303100
5440000133441
635131330520
75544126030
oct1576056320
9540022533
10234380496
11110335599
12665b0a40
13397340ac
14231b18c0
151589b116
hexdf85cd0

234380496 has 160 divisors (see below), whose sum is σ = 753166080. Its totient is φ = 61267968.

The previous prime is 234380473. The next prime is 234380527. The reversal of 234380496 is 694083432.

It is a congruent number.

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, 210790 + ... + 211898.

It is an arithmetic number, because the mean of its divisors is an integer number (4707288).

Almost surely, 2234380496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234380496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376583040).

234380496 is an abundant number, since it is smaller than the sum of its proper divisors (518785584).

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

234380496 is a wasteful number, since it uses less digits than its factorization.

234380496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 234380496 is about 15309.4903899509. The cubic root of 234380496 is about 616.5578378522.

The spelling of 234380496 in words is "two hundred thirty-four million, three hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 37 42 48 51 56 68 74 84 102 111 112 119 136 148 168 204 222 238 259 272 296 336 357 408 444 476 518 592 629 714 777 816 888 952 1036 1109 1258 1428 1554 1776 1887 1904 2072 2218 2516 2856 3108 3327 3774 4144 4403 4436 5032 5712 6216 6654 7548 7763 8806 8872 10064 12432 13209 13308 15096 15526 17612 17744 18853 23289 26418 26616 30192 31052 35224 37706 41033 46578 52836 53232 56559 62104 70448 75412 82066 93156 105672 113118 123099 124208 131971 150824 164132 186312 211344 226236 246198 263942 287231 301648 328264 372624 395913 452472 492396 527884 574462 656528 697561 791826 861693 904944 984792 1055768 1148924 1395122 1583652 1723386 1969584 2092683 2111536 2297848 2790244 3167304 3446772 4185366 4595696 4882927 5580488 6334608 6893544 8370732 9765854 11160976 13787088 14648781 16741464 19531708 29297562 33482928 39063416 58595124 78126832 117190248 234380496