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3744534164 = 227538093119
BaseRepresentation
bin1101111100110001…
…0000111010010100
3100122222000001012112
43133030100322110
530132100043124
61415322210152
7161536005140
oct33714207224
910588001175
103744534164
111651767a38
12886053958
13478a171b7
14277454220
1516db1190e
hexdf310e94

3744534164 has 48 divisors (see below), whose sum is σ = 7642252800. Its totient is φ = 1572070656.

The previous prime is 3744534151. The next prime is 3744534169. The reversal of 3744534164 is 4614354473.

It is a happy number.

3744534164 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-2 number, since 2×37445341642 = 28043072210726357792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744534169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198997 + ... + 1202115.

It is an arithmetic number, because the mean of its divisors is an integer number (159213600).

Almost surely, 23744534164 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 3744534164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821126400).

3744534164 is an abundant number, since it is smaller than the sum of its proper divisors (3897718636).

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

3744534164 is a wasteful number, since it uses less digits than its factorization.

3744534164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3990 counting only the distinct ones).

The product of its digits is 483840, while the sum is 41.

The square root of 3744534164 is about 61192.5989315701. The cubic root of 3744534164 is about 1552.8610582432.

The spelling of 3744534164 in words is "three billion, seven hundred forty-four million, five hundred thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 809 1484 1618 3119 3236 5663 6238 11326 12476 21833 22652 42877 43666 85754 87332 165307 171508 300139 330614 600278 661228 1157149 1200556 2314298 2523271 4628596 5046542 10093084 17662897 35325794 70651588 133733363 267466726 534933452 936133541 1872267082 3744534164