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32340432540 = 223513285114543
BaseRepresentation
bin11110000111101000…
…111101011010011100
310002110212020012020210
4132013220331122130
51012213122320130
622505035412420
72223266066223
oct360750753234
9102425205223
1032340432540
11127963706a9
1263268b4110
133085225920
1417cb1ddcba
15c943355b0
hex787a3d69c

32340432540 has 96 divisors (see below), whose sum is σ = 97559755776. Its totient is φ = 7957382400.

The previous prime is 32340432499. The next prime is 32340432547. The reversal of 32340432540 is 4523404323.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32340432498 and 32340432507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32340432547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2216509 + ... + 2231051.

It is an arithmetic number, because the mean of its divisors is an integer number (1016247456).

Almost surely, 232340432540 is an apocalyptic number.

32340432540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32340432540 is an abundant number, since it is smaller than the sum of its proper divisors (65219323236).

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

32340432540 is a wasteful number, since it uses less digits than its factorization.

32340432540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17419 (or 17417 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 32340432540 its reverse (4523404323), we get a palindrome (36863836863).

The spelling of 32340432540 in words is "thirty-two billion, three hundred forty million, four hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2851 5702 8553 11404 14255 14543 17106 28510 29086 34212 37063 42765 43629 57020 58172 72715 74126 85530 87258 111189 145430 148252 171060 174516 185315 189059 218145 222378 290860 370630 378118 436290 444756 555945 567177 741260 756236 872580 945295 1111890 1134354 1890590 2223780 2268708 2835885 3781180 5671770 11343540 41462093 82924186 124386279 165848372 207310465 248772558 414620930 497545116 539007209 621931395 829241860 1078014418 1243862790 1617021627 2156028836 2487725580 2695036045 3234043254 5390072090 6468086508 8085108135 10780144180 16170216270 32340432540