Search a number
-
+
3313014404 = 22729139149197
BaseRepresentation
bin1100010101111000…
…1001011010000100
322112220000120101012
43011132021122010
523241112430104
61304425221352
7145046105060
oct30536113204
98486016335
103313014404
111450123837
12785631858
1340a4bac6b
14236006aa0
15145cc3d6e
hexc5789684

3313014404 has 96 divisors (see below), whose sum is σ = 6985440000. Its totient is φ = 1345042944.

The previous prime is 3313014391. The next prime is 3313014413. The reversal of 3313014404 is 4044103133.

It is a super-2 number, since 2×33130144042 = 21952128882222950432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3313014404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16817234 + ... + 16817430.

It is an arithmetic number, because the mean of its divisors is an integer number (72765000).

Almost surely, 23313014404 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 3313014404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492720000).

3313014404 is an abundant number, since it is smaller than the sum of its proper divisors (3672425596).

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

3313014404 is a wasteful number, since it uses less digits than its factorization.

3313014404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3313014404 is about 57558.7908490093. The cubic root of 3313014404 is about 1490.7601490437.

Adding to 3313014404 its reverse (4044103133), we get a palindrome (7357117537).

The spelling of 3313014404 in words is "three billion, three hundred thirteen million, fourteen thousand, four hundred four".

Divisors: 1 2 4 7 14 28 29 58 116 139 149 197 203 278 298 394 406 556 596 788 812 973 1043 1379 1946 2086 2758 3892 4031 4172 4321 5516 5713 8062 8642 11426 16124 17284 20711 22852 27383 28217 29353 30247 39991 41422 54766 56434 58706 60494 79982 82844 109532 112868 117412 120988 144977 159964 191681 205471 289954 383362 410942 579908 600619 766724 794107 821884 851237 1201238 1588214 1702474 2402476 3176428 3404948 4080067 4204333 5558749 5958659 8160134 8408666 11117498 11917318 16320268 16817332 22234996 23834636 28560469 57120938 114241876 118321943 236643886 473287772 828253601 1656507202 3313014404