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3368935920 = 243572005319
BaseRepresentation
bin1100100011001101…
…1110000111110000
322200210020200021110
43020303132013300
523344421422140
61314143553320
7146325324420
oct31063360760
98623220243
103368935920
111479749469
127a02bb840
13418c6a70c
1423d602480
1514ab6d380
hexc8cde1f0

3368935920 has 80 divisors (see below), whose sum is σ = 11935664640. Its totient is φ = 770042112.

The previous prime is 3368935919. The next prime is 3368935949. The reversal of 3368935920 is 295398633.

3368935920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33689359202 = 22699458466132492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3368935920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000980 + ... + 1004339.

It is an arithmetic number, because the mean of its divisors is an integer number (149195808).

Almost surely, 23368935920 is an apocalyptic number.

3368935920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3368935920 is an abundant number, since it is smaller than the sum of its proper divisors (8566728720).

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

3368935920 is a wasteful number, since it uses less digits than its factorization.

3368935920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005342 (or 2005336 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The square root of 3368935920 is about 58042.5354373842. The cubic root of 3368935920 is about 1499.1010791796.

The spelling of 3368935920 in words is "three billion, three hundred sixty-eight million, nine hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2005319 4010638 6015957 8021276 10026595 12031914 14037233 16042552 20053190 24063828 28074466 30079785 32085104 40106380 42111699 48127656 56148932 60159570 70186165 80212760 84223398 96255312 112297864 120319140 140372330 160425520 168446796 210558495 224595728 240638280 280744660 336893592 421116990 481276560 561489320 673787184 842233980 1122978640 1684467960 3368935920