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3774240704 = 26135218707
BaseRepresentation
bin1110000011110110…
…0101011111000000
3100202000220021220202
43200331211133000
530212201200304
61422303024332
7162346342133
oct34075453700
910660807822
103774240704
1116675079a3
12893b9b0a8
13481c18730
1427b38821a
1517152d81e
hexe0f657c0

3774240704 has 56 divisors (see below), whose sum is σ = 8082034128. Its totient is φ = 1738414080.

The previous prime is 3774240629. The next prime is 3774240707. The reversal of 3774240704 is 4070424773.

It is a happy number.

3774240704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×37742407043 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3774240707) 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, 429119 + ... + 437825.

It is an arithmetic number, because the mean of its divisors is an integer number (144322038).

Almost surely, 23774240704 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 3774240704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041017064).

3774240704 is an abundant number, since it is smaller than the sum of its proper divisors (4307793424).

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

3774240704 is a wasteful number, since it uses less digits than its factorization.

3774240704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9253 (or 9243 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 38.

The square root of 3774240704 is about 61434.8492632643. The cubic root of 3774240704 is about 1556.9566879252.

The spelling of 3774240704 in words is "three billion, seven hundred seventy-four million, two hundred forty thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 521 832 1042 2084 4168 6773 8336 8707 13546 16672 17414 27092 33344 34828 54184 69656 108368 113191 139312 216736 226382 278624 433472 452764 557248 905528 1811056 3622112 4536347 7244224 9072694 18145388 36290776 58972511 72581552 117945022 145163104 235890044 290326208 471780088 943560176 1887120352 3774240704