Search a number
-
+
3361356768 = 253711267617
BaseRepresentation
bin1100100001011010…
…0011101111100000
322200020222121122010
43020112203233200
523341001404033
61313313312520
7146204026650
oct31026435740
98606877563
103361356768
111475442100
12799865740
13417515a03
1423c5cc360
1514a172863
hexc85a3be0

3361356768 has 288 divisors, whose sum is σ = 11267811072. Its totient is φ = 858654720.

The previous prime is 3361356727. The next prime is 3361356799. The reversal of 3361356768 is 8676531633.

It is a super-2 number, since 2×33613567682 = 22597438643558811648, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5447596 + ... + 5448212.

It is an arithmetic number, because the mean of its divisors is an integer number (39124344).

Almost surely, 23361356768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3361356768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633905536).

3361356768 is an abundant number, since it is smaller than the sum of its proper divisors (7906454304).

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

3361356768 is a wasteful number, since it uses less digits than its factorization.

3361356768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 707 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 3361356768 is about 57977.2090394148. The cubic root of 3361356768 is about 1497.9760507590.

The spelling of 3361356768 in words is "three billion, three hundred sixty-one million, three hundred fifty-six thousand, seven hundred sixty-eight".