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293440326690 = 235731140931991
BaseRepresentation
bin1000100010100100110…
…10000000110000100010
31001001102100202002121210
410101102122000300202
514301431210423230
6342445444330550
730125503423350
oct4212232006042
91031370662553
10293440326690
111034a1461695
1248a546a3a56
1321895b16704
14102b9c867d0
157976871eb0
hex4452680c22

293440326690 has 128 divisors (see below), whose sum is σ = 831443927040. Its totient is φ = 64860364800.

The previous prime is 293440326629. The next prime is 293440326691. The reversal of 293440326690 is 96623044392.

It is a super-2 number, since 2×2934403266902 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (293440326691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9156595 + ... + 9188585.

It is an arithmetic number, because the mean of its divisors is an integer number (6495655680).

Almost surely, 2293440326690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293440326690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415721963520).

293440326690 is an abundant number, since it is smaller than the sum of its proper divisors (538003600350).

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

293440326690 is a wasteful number, since it uses less digits than its factorization.

293440326690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33448.

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 293440326690 in words is "two hundred ninety-three billion, four hundred forty million, three hundred twenty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 1409 2170 2818 3255 4227 6510 7045 8454 9863 14090 19726 21135 29589 31991 42270 43679 49315 59178 63982 87358 95973 98630 131037 147945 159955 191946 218395 223937 262074 295890 305753 319910 436790 447874 479865 611506 655185 671811 917259 959730 991721 1119685 1310370 1343622 1528765 1834518 1983442 2239370 2975163 3057530 3359055 4586295 4958605 5950326 6718110 6942047 9172590 9917210 13884094 14875815 20826141 29751630 34710235 41652282 45075319 69420470 90150638 104130705 135225957 208261410 225376595 270451914 315527233 450753190 631054466 676129785 946581699 1352259570 1397334889 1577636165 1893163398 2794669778 3155272330 4192004667 4732908495 6986674445 8384009334 9465816990 9781344223 13973348890 19562688446 20960023335 29344032669 41920046670 48906721115 58688065338 97813442230 146720163345 293440326690