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3233741340 = 22354111311633
BaseRepresentation
bin1100000010111110…
…1111101000011100
322100100212002011210
43000233233220130
523110314210330
61252514144420
7143064230214
oct30057575034
98310762153
103233741340
11140a3a9805
12762b82110
133c6c5371b
1422968d244
1513dd658b0
hexc0befa1c

3233741340 has 96 divisors (see below), whose sum is σ = 9358203456. Its totient is φ = 833781760.

The previous prime is 3233741297. The next prime is 3233741351. The reversal of 3233741340 is 431473323.

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 = 3233741298 and 3233741307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272164 + ... + 283796.

It is an arithmetic number, because the mean of its divisors is an integer number (97481286).

Almost surely, 23233741340 is an apocalyptic number.

3233741340 is a gapful number since it is divisible by the number (30) 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 3233741340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679101728).

3233741340 is an abundant number, since it is smaller than the sum of its proper divisors (6124462116).

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

3233741340 is a wasteful number, since it uses less digits than its factorization.

3233741340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11799 (or 11797 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 3233741340 is about 56865.9945837581. The cubic root of 3233741340 is about 1478.7738413774.

The spelling of 3233741340 in words is "three billion, two hundred thirty-three million, seven hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 113 123 164 205 226 246 339 410 452 492 565 615 678 820 1130 1230 1356 1695 2260 2460 3390 4633 6780 9266 11633 13899 18532 23165 23266 27798 34899 46330 46532 55596 58165 69495 69798 92660 116330 138990 139596 174495 232660 277980 348990 476953 697980 953906 1314529 1430859 1907812 2384765 2629058 2861718 3943587 4769530 5258116 5723436 6572645 7154295 7887174 9539060 13145290 14308590 15774348 19717935 26290580 28617180 39435870 53895689 78871740 107791378 161687067 215582756 269478445 323374134 538956890 646748268 808435335 1077913780 1616870670 3233741340