Search a number
-
+
3501816444 = 2232761322669
BaseRepresentation
bin1101000010111001…
…0111101001111100
3100001001021201002100
43100232113221330
524132431111234
61335252025100
7152530643250
oct32056275174
910031251070
103501816444
111537758585
12818902190
1343a654349
14253112260
1515766a399
hexd0b97a7c

3501816444 has 72 divisors (see below), whose sum is σ = 10133308640. Its totient is φ = 998842752.

The previous prime is 3501816433. The next prime is 3501816449. The reversal of 3501816444 is 4446181053.

3501816444 is a `hidden beast` number, since 3 + 5 + 0 + 1 + 8 + 1 + 644 + 4 = 666.

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 = 3501816399 and 3501816408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3501816449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143142 + ... + 165810.

Almost surely, 23501816444 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 3501816444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066654320).

3501816444 is an abundant number, since it is smaller than the sum of its proper divisors (6631492196).

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

3501816444 is a wasteful number, since it uses less digits than its factorization.

3501816444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23299 (or 23294 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3501816444 is about 59176.1475934350. The cubic root of 3501816444 is about 1518.5570973612.

Adding to 3501816444 its reverse (4446181053), we get a palindrome (7947997497).

The spelling of 3501816444 in words is "three billion, five hundred one million, eight hundred sixteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 613 1226 1839 2452 3678 4291 5517 7356 8582 11034 12873 17164 22068 22669 25746 38619 45338 51492 68007 77238 90676 136014 154476 158683 204021 272028 317366 408042 476049 634732 816084 952098 1428147 1904196 2856294 5712588 13896097 27792194 41688291 55584388 83376582 97272679 125064873 166753164 194545358 250129746 291818037 389090716 500259492 583636074 875454111 1167272148 1750908222 3501816444