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3444491136 = 27361314633
BaseRepresentation
bin1100110101001110…
…1100001110000000
322220001102021112210
43031103230032000
524023242204021
61325443222120
7151233456132
oct31523541600
98801367483
103444491136
111508364199
12801677940
1342b802948
1424966d052
151525e4e76
hexcd4ec380

3444491136 has 64 divisors (see below), whose sum is σ = 9164981520. Its totient is φ = 1146212352.

The previous prime is 3444491129. The next prime is 3444491161. The reversal of 3444491136 is 6311944443.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3444491094 and 3444491103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228076 + ... + 242708.

Almost surely, 23444491136 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 3444491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582490760).

3444491136 is an abundant number, since it is smaller than the sum of its proper divisors (5720490384).

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

3444491136 is a wasteful number, since it uses less digits than its factorization.

3444491136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15263 (or 15251 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 3444491136 is about 58689.7873228384. The cubic root of 3444491136 is about 1510.2251226419.

The spelling of 3444491136 in words is "three billion, four hundred forty-four million, four hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 613 1226 1839 2452 3678 4904 7356 9808 14633 14712 19616 29266 29424 39232 43899 58532 58848 78464 87798 117064 117696 175596 234128 235392 351192 468256 702384 936512 1404768 1873024 2809536 5619072 8970029 17940058 26910087 35880116 53820174 71760232 107640348 143520464 215280696 287040928 430561392 574081856 861122784 1148163712 1722245568 3444491136