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3335440768 = 27115574253
BaseRepresentation
bin1100011011001110…
…1100100110000000
322121110012221120021
43012303230212000
523312333101033
61310550023224
7145440531052
oct30663544600
98543187507
103335440768
111461851020
12791047b14
134120408ba
14238da38d2
15147c53b2d
hexc6cec980

3335440768 has 64 divisors (see below), whose sum is σ = 7263619920. Its totient is φ = 1513031680.

The previous prime is 3335440763. The next prime is 3335440781. The reversal of 3335440768 is 8670445333.

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

It is a super-2 number, since 2×33354407682 = 22250330233672859648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3335440763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 782130 + ... + 786382.

Almost surely, 23335440768 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 3335440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631809960).

3335440768 is an abundant number, since it is smaller than the sum of its proper divisors (3928179152).

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

3335440768 is a wasteful number, since it uses less digits than its factorization.

3335440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The square root of 3335440768 is about 57753.2749547591. The cubic root of 3335440768 is about 1494.1163247890.

The spelling of 3335440768 in words is "three billion, three hundred thirty-five million, four hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 557 704 1114 1408 2228 4253 4456 6127 8506 8912 12254 17012 17824 24508 34024 35648 46783 49016 68048 71296 93566 98032 136096 187132 196064 272192 374264 392128 544384 748528 784256 1497056 2368921 2994112 4737842 5988224 9475684 18951368 26058131 37902736 52116262 75805472 104232524 151610944 208465048 303221888 416930096 833860192 1667720384 3335440768