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3413013040 = 245400110663
BaseRepresentation
bin1100101101101110…
…0111001000110000
322210212012000201101
43023123213020300
523442212404130
61322400414144
7150402063223
oct31333471060
98725160641
103413013040
1114a1614238
127b3017354
13425130c58
142453d75ba
1514e9781ca
hexcb6e7230

3413013040 has 40 divisors (see below), whose sum is σ = 7937983008. Its totient is φ = 1364736000.

The previous prime is 3413013017. The next prime is 3413013049. The reversal of 3413013040 is 403103143.

3413013040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34130130402 = 23297316022420083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3413012999 and 3413013017.

It is not an unprimeable number, because it can be changed into a prime (3413013049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314749 + ... + 325411.

Almost surely, 23413013040 is an apocalyptic number.

It is an amenable number.

3413013040 is an abundant number, since it is smaller than the sum of its proper divisors (4524969968).

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

3413013040 is a wasteful number, since it uses less digits than its factorization.

3413013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14677 (or 14671 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3413013040 is about 58420.9982797282. The cubic root of 3413013040 is about 1505.6105498042.

Adding to 3413013040 its reverse (403103143), we get a palindrome (3816116183).

The spelling of 3413013040 in words is "three billion, four hundred thirteen million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4001 8002 10663 16004 20005 21326 32008 40010 42652 53315 64016 80020 85304 106630 160040 170608 213260 320080 426520 853040 42662663 85325326 170650652 213313315 341301304 426626630 682602608 853253260 1706506520 3413013040