Search a number
-
+
3413114120 = 2351337317597
BaseRepresentation
bin1100101101101111…
…1111110100001000
322210212101011101002
43023123333310020
523442224122440
61322402514132
7150402664013
oct31333776410
98725334332
103413114120
1114a1683179
127b3065948
13425167c70
1424542237a
1514e998115
hexcb6ffd08

3413114120 has 64 divisors (see below), whose sum is σ = 8292881520. Its totient is φ = 1256776704.

The previous prime is 3413114101. The next prime is 3413114129. The reversal of 3413114120 is 214113143.

It can be written as a sum of positive squares in 8 ways, for example, as 174821284 + 3238292836 = 13222^2 + 56906^2 .

It is a super-2 number, since 2×34131141202 = 23298695992286748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3413114092 and 3413114101.

It is not an unprimeable number, because it can be changed into a prime (3413114129) 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 15 ways as a sum of consecutive naturals, for example, 185162 + ... + 202758.

Almost surely, 23413114120 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 3413114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146440760).

3413114120 is an abundant number, since it is smaller than the sum of its proper divisors (4879767400).

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

3413114120 is a wasteful number, since it uses less digits than its factorization.

3413114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17994 (or 17990 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3413114120 is about 58421.8633732270. The cubic root of 3413114120 is about 1505.6254130751.

Adding to 3413114120 its reverse (214113143), we get a palindrome (3627227263).

The spelling of 3413114120 in words is "three billion, four hundred thirteen million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 373 520 746 1492 1865 2984 3730 4849 7460 9698 14920 17597 19396 24245 35194 38792 48490 70388 87985 96980 140776 175970 193960 228761 351940 457522 703880 915044 1143805 1830088 2287610 4575220 6563681 9150440 13127362 26254724 32818405 52509448 65636810 85327853 131273620 170655706 262547240 341311412 426639265 682622824 853278530 1706557060 3413114120