Search a number
-
+
3734044344 = 2332474212621
BaseRepresentation
bin1101111010010000…
…1111111010111000
3100122020021002212200
43132210033322320
530121403404334
61414305310200
7161350565442
oct33644177270
910566232780
103734044344
111646852868
12882635360
134767b36c4
14275cc3492
1516cc3d799
hexde90feb8

3734044344 has 96 divisors (see below), whose sum is σ = 10356690240. Its totient is φ = 1214841600.

The previous prime is 3734044343. The next prime is 3734044361. The reversal of 3734044344 is 4434404373.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3734044299 and 3734044308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734044343) 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 23 ways as a sum of consecutive naturals, for example, 1423354 + ... + 1425974.

It is an arithmetic number, because the mean of its divisors is an integer number (107882190).

Almost surely, 23734044344 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 3734044344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178345120).

3734044344 is an abundant number, since it is smaller than the sum of its proper divisors (6622645896).

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

3734044344 is a wasteful number, since it uses less digits than its factorization.

3734044344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 36.

The square root of 3734044344 is about 61106.8273108660. The cubic root of 3734044344 is about 1551.4096567512.

The spelling of 3734044344 in words is "three billion, seven hundred thirty-four million, forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 421 423 564 842 846 1128 1263 1684 1692 2526 2621 3368 3384 3789 5052 5242 7578 7863 10104 10484 15156 15726 19787 20968 23589 30312 31452 39574 47178 59361 62904 79148 94356 118722 123187 158296 178083 188712 237444 246374 356166 369561 474888 492748 712332 739122 985496 1103441 1108683 1424664 1478244 2206882 2217366 2956488 3310323 4413764 4434732 6620646 8827528 8869464 9930969 13241292 19861938 26482584 39723876 51861727 79447752 103723454 155585181 207446908 311170362 414893816 466755543 622340724 933511086 1244681448 1867022172 3734044344