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3744276372 = 2232531962409
BaseRepresentation
bin1101111100101101…
…0001111110010100
3100122221111221120200
43133023101332110
530132013320442
61415312500500
7161533552434
oct33713217624
910587457520
103744276372
111651601291
12885b4a730
13478956a65
142773c82c4
1516dab034c
hexdf2d1f94

3744276372 has 36 divisors (see below), whose sum is σ = 9643282740. Its totient is φ = 1224542592.

The previous prime is 3744276323. The next prime is 3744276373. The reversal of 3744276372 is 2736724473.

3744276372 is a `hidden beast` number, since 3 + 7 + 4 + 4 + 2 + 7 + 637 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3255158916 + 489117456 = 57054^2 + 22116^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744276373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 979297 + ... + 983112.

It is an arithmetic number, because the mean of its divisors is an integer number (267868965).

Almost surely, 23744276372 is an apocalyptic number.

It is an amenable number.

3744276372 is an abundant number, since it is smaller than the sum of its proper divisors (5899006368).

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

3744276372 is a wasteful number, since it uses less digits than its factorization.

3744276372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962472 (or 1962467 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 45.

The square root of 3744276372 is about 61190.4924967923. The cubic root of 3744276372 is about 1552.8254219151.

The spelling of 3744276372 in words is "three billion, seven hundred forty-four million, two hundred seventy-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 1962409 3924818 5887227 7849636 11774454 17661681 23548908 35323362 70646724 104007677 208015354 312023031 416030708 624046062 936069093 1248092124 1872138186 3744276372