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3774291136 = 267114311777
BaseRepresentation
bin1110000011110111…
…0001110011000000
3100202000222212002121
43200331301303000
530212204304021
61422304054024
7162346642150
oct34075616300
910660885077
103774291136
111667541880
12894004314
13481c35685
1427b39c760
1517153d741
hexe0f71cc0

3774291136 has 112 divisors (see below), whose sum is σ = 9364626432. Its totient is φ = 1466265600.

The previous prime is 3774291127. The next prime is 3774291161. The reversal of 3774291136 is 6311924773.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 3774291092 and 3774291101.

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, 2123080 + ... + 2124856.

It is an arithmetic number, because the mean of its divisors is an integer number (83612736).

Almost surely, 23774291136 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 3774291136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682313216).

3774291136 is an abundant number, since it is smaller than the sum of its proper divisors (5590335296).

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

3774291136 is a wasteful number, since it uses less digits than its factorization.

3774291136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2228 counting only the distinct ones).

The product of its digits is 190512, while the sum is 43.

The square root of 3774291136 is about 61435.2597129694. The cubic root of 3774291136 is about 1556.9636226613.

The spelling of 3774291136 in words is "three billion, seven hundred seventy-four million, two hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 431 448 616 704 862 1232 1724 1777 2464 3017 3448 3554 4741 4928 6034 6896 7108 9482 12068 12439 13792 14216 18964 19547 24136 24878 27584 28432 33187 37928 39094 48272 49756 56864 66374 75856 78188 96544 99512 113728 132748 136829 151712 156376 193088 199024 265496 273658 303424 312752 398048 530992 547316 625504 765887 796096 1061984 1094632 1251008 1531774 2123968 2189264 3063548 4378528 5361209 6127096 8424757 8757056 10722418 12254192 16849514 21444836 24508384 33699028 42889672 49016768 58973299 67398056 85779344 117946598 134796112 171558688 235893196 269592224 343117376 471786392 539184448 943572784 1887145568 3774291136