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232934707840 = 275661550621
BaseRepresentation
bin1101100011101111111…
…1011001001010000000
3211021020121202012012111
43120323333121022000
512304022241122330
6255001515105104
722554224230252
oct3307377311200
9737217665174
10232934707840
118a87262a70a
1239189442194
1318c726b7a93
14b3ba1b7cd2
1560d4a4632a
hex363bfd9280

232934707840 has 64 divisors (see below), whose sum is σ = 557702998920. Its totient is φ = 93032755200.

The previous prime is 232934707769. The next prime is 232934707861. The reversal of 232934707840 is 48707439232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 142757020224 + 90177687616 = 377832^2 + 300296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147730 + ... + 698350.

Almost surely, 2232934707840 is an apocalyptic number.

232934707840 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 232934707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278851499460).

232934707840 is an abundant number, since it is smaller than the sum of its proper divisors (324768291080).

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

232934707840 is an equidigital number, since it uses as much as digits as its factorization.

232934707840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551301 (or 551289 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 232934707840 in words is "two hundred thirty-two billion, nine hundred thirty-four million, seven hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 661 1322 2644 3305 5288 6610 10576 13220 21152 26440 42304 52880 84608 105760 211520 423040 550621 1101242 2202484 2753105 4404968 5506210 8809936 11012420 17619872 22024840 35239744 44049680 70479488 88099360 176198720 352397440 363960481 727920962 1455841924 1819802405 2911683848 3639604810 5823367696 7279209620 11646735392 14558419240 23293470784 29116838480 46586941568 58233676960 116467353920 232934707840