Search a number
-
+
3362116880 = 245192211919
BaseRepresentation
bin1100100001100101…
…1101010100010000
322200022102020022102
43020121131110100
523341200220010
61313341455532
7146213344013
oct31031352420
98608366272
103362116880
1114759111a1
12799b715a8
13417720995
1423c74937a
1514a272ba5
hexc865d510

3362116880 has 40 divisors (see below), whose sum is σ = 8228342400. Its totient is φ = 1274064768.

The previous prime is 3362116867. The next prime is 3362116897. The reversal of 3362116880 is 886112633.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33621168802 = 22607659829561868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1104440 + ... + 1107479.

It is an arithmetic number, because the mean of its divisors is an integer number (205708560).

Almost surely, 23362116880 is an apocalyptic number.

It is an amenable number.

3362116880 is an abundant number, since it is smaller than the sum of its proper divisors (4866225520).

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

3362116880 is a wasteful number, since it uses less digits than its factorization.

3362116880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211951 (or 2211945 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 3362116880 is about 57983.7639343980. The cubic root of 3362116880 is about 1498.0889559373.

The spelling of 3362116880 in words is "three billion, three hundred sixty-two million, one hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2211919 4423838 8847676 11059595 17695352 22119190 35390704 42026461 44238380 84052922 88476760 168105844 176953520 210132305 336211688 420264610 672423376 840529220 1681058440 3362116880