Search a number
-
+
3734444148 = 2231926960889
BaseRepresentation
bin1101111010010111…
…0001100001110100
3100122021000102022020
43132211301201310
530122004203043
61414322033140
7161354152161
oct33645614164
910567012266
103734444148
111646aa6186
128827a87b0
134768c3686
14275d89068
1516ccbbe83
hexde971874

3734444148 has 48 divisors (see below), whose sum is σ = 9206568000. Its totient is φ = 1174894848.

The previous prime is 3734444141. The next prime is 3734444201. The reversal of 3734444148 is 8414444373.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734444141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30888 + ... + 91776.

It is an arithmetic number, because the mean of its divisors is an integer number (191803500).

Almost surely, 23734444148 is an apocalyptic number.

3734444148 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3734444148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603284000).

3734444148 is an abundant number, since it is smaller than the sum of its proper divisors (5472123852).

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

3734444148 is a wasteful number, since it uses less digits than its factorization.

3734444148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61184 (or 61182 counting only the distinct ones).

The product of its digits is 516096, while the sum is 42.

The square root of 3734444148 is about 61110.0985762582. The cubic root of 3734444148 is about 1551.4650245681.

The spelling of 3734444148 in words is "three billion, seven hundred thirty-four million, four hundred forty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 269 538 807 1076 1614 3228 5111 10222 15333 20444 30666 60889 61332 121778 182667 243556 365334 730668 1156891 2313782 3470673 4627564 6941346 13882692 16379141 32758282 49137423 65516564 98274846 196549692 311203679 622407358 933611037 1244814716 1867222074 3734444148