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234392080 = 245132341239
BaseRepresentation
bin11011111100010…
…00101000010000
3121100001100111011
431332020220100
5440001021310
635131500304
75544204556
oct1576105020
9540040434
10234392080
1111034326a
12665b7694
1339739450
14231b5bd6
151589e78a
hexdf88a10

234392080 has 160 divisors (see below), whose sum is σ = 629959680. Its totient is φ = 80424960.

The previous prime is 234392069. The next prime is 234392111. The reversal of 234392080 is 80293432.

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, 980601 + ... + 980839.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2234392080 is an apocalyptic number.

234392080 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 234392080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

234392080 is an abundant number, since it is smaller than the sum of its proper divisors (395567600).

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

234392080 is a wasteful number, since it uses less digits than its factorization.

234392080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 234392080 is about 15309.8687126964. The cubic root of 234392080 is about 616.5679952507.

The spelling of 234392080 in words is "two hundred thirty-four million, three hundred ninety-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 41 46 52 65 80 82 92 104 115 130 164 184 205 208 230 239 260 299 328 368 410 460 478 520 533 598 656 820 920 943 956 1040 1066 1195 1196 1495 1640 1840 1886 1912 2132 2390 2392 2665 2990 3107 3280 3772 3824 4264 4715 4780 4784 5330 5497 5980 6214 7544 8528 9430 9560 9799 10660 10994 11960 12259 12428 15088 15535 18860 19120 19598 21320 21988 23920 24518 24856 27485 31070 37720 39196 42640 43976 48995 49036 49712 54970 61295 62140 71461 75440 78392 87952 97990 98072 109940 122590 124280 127387 142922 156784 195980 196144 219880 225377 245180 248560 254774 285844 357305 391960 439760 450754 490360 509548 571688 636935 714610 783920 901508 980720 1019096 1126885 1143376 1273870 1429220 1803016 2038192 2253770 2547740 2858440 2929901 3606032 4507540 5095480 5716880 5859802 9015080 10190960 11719604 14649505 18030160 23439208 29299010 46878416 58598020 117196040 234392080