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32304040040 = 235231271511831
BaseRepresentation
bin11110000101011110…
…001000100001101000
310002101022202021010102
4132011132020201220
51012124313240130
622501255404532
72222344544516
oct360536104150
9102338667112
1032304040040
1112777874458
126316683748
13307a8230bc
1417c64494b6
15c91047645
hex785788868

32304040040 has 128 divisors (see below), whose sum is σ = 76989726720. Its totient is φ = 12174624000.

The previous prime is 32304040037. The next prime is 32304040147. The reversal of 32304040040 is 4004040323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32304039994 and 32304040021.

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, 17641925 + ... + 17643755.

It is an arithmetic number, because the mean of its divisors is an integer number (601482240).

Almost surely, 232304040040 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 32304040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38494863360).

32304040040 is an abundant number, since it is smaller than the sum of its proper divisors (44685686680).

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

32304040040 is a wasteful number, since it uses less digits than its factorization.

32304040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 32304040040 its reverse (4004040323), we get a palindrome (36308080363).

The spelling of 32304040040 in words is "thirty-two billion, three hundred four million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 127 151 184 230 254 302 460 508 604 635 755 920 1016 1208 1270 1510 1831 2540 2921 3020 3473 3662 5080 5842 6040 6946 7324 9155 11684 13892 14605 14648 17365 18310 19177 23368 27784 29210 34730 36620 38354 42113 58420 69460 73240 76708 84226 95885 116840 138920 153416 168452 191770 210565 232537 276481 336904 383540 421130 441071 465074 552962 767080 842260 882142 930148 1105924 1162685 1382405 1684520 1764284 1860296 2205355 2211848 2325370 2764810 3528568 4410710 4650740 5348351 5529620 6359063 8821420 9301480 10696702 11059240 12718126 17642840 21393404 25436252 26741755 31795315 35113087 42786808 50872504 53483510 63590630 70226174 106967020 127181260 140452348 175565435 213934040 254362520 280904696 351130870 702261740 807601001 1404523480 1615202002 3230404004 4038005005 6460808008 8076010010 16152020020 32304040040