Search a number
-
+
234192686640 = 243511471887433
BaseRepresentation
bin1101101000011011111…
…0001100111000110000
3211101111021212010200220
43122012332030320300
512314111311433030
6255330414013040
722630340664033
oct3320676147060
9741437763626
10234192686640
1190358736810
123947a7a7180
13191131cc233
14b4992bb01a
15615a1d5a10
hex3686f8ce30

234192686640 has 160 divisors (see below), whose sum is σ = 808848516096. Its totient is φ = 55565998080.

The previous prime is 234192686621. The next prime is 234192686657. The reversal of 234192686640 is 46686291432.

234192686640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2341926866402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819637 + ... + 1067796.

Almost surely, 2234192686640 is an apocalyptic number.

234192686640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234192686640 is an abundant number, since it is smaller than the sum of its proper divisors (574655829456).

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

234192686640 is a wasteful number, since it uses less digits than its factorization.

234192686640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887507 (or 1887501 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 234192686640 in words is "two hundred thirty-four billion, one hundred ninety-two million, six hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 188 220 235 240 264 282 330 376 440 470 517 528 564 660 705 752 880 940 1034 1128 1320 1410 1551 1880 2068 2256 2585 2640 2820 3102 3760 4136 5170 5640 6204 7755 8272 10340 11280 12408 15510 20680 24816 31020 41360 62040 124080 1887433 3774866 5662299 7549732 9437165 11324598 15099464 18874330 20761763 22649196 28311495 30198928 37748660 41523526 45298392 56622990 62285289 75497320 83047052 88709351 90596784 103808815 113245980 124570578 150994640 166094104 177418702 207617630 226491960 249141156 266128053 311426445 332188208 354837404 415235260 443546755 452983920 498282312 532256106 622852890 709674808 830470520 887093510 975802861 996564624 1064512212 1245705780 1330640265 1419349616 1660941040 1774187020 1951605722 2129024424 2491411560 2661280530 2927408583 3548374040 3903211444 4258048848 4879014305 4982823120 5322561060 5854817166 7096748080 7806422888 9758028610 10645122120 11709634332 14637042915 15612845776 19516057220 21290244240 23419268664 29274085830 39032114440 46838537328 58548171660 78064228880 117096343320 234192686640