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3413240020 = 2252317941453
BaseRepresentation
bin1100101101110001…
…1110100011010100
322210212121120002001
43023130132203110
523442242140040
61322405325044
7150404030041
oct31334364324
98725546061
103413240020
1114a1759823
127b3106784
134251b0368
142454561c8
1514e9c059a
hexcb71e8d4

3413240020 has 48 divisors (see below), whose sum is σ = 7521413760. Its totient is φ = 1298608256.

The previous prime is 3413239981. The next prime is 3413240071. The reversal of 3413240020 is 200423143.

It is a self number, because there is not a number n which added to its sum of digits gives 3413240020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61614 + ... + 103066.

It is an arithmetic number, because the mean of its divisors is an integer number (156696120).

Almost surely, 23413240020 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 3413240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760706880).

3413240020 is an abundant number, since it is smaller than the sum of its proper divisors (4108173740).

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

3413240020 is a wasteful number, since it uses less digits than its factorization.

3413240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41664 (or 41662 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3413240020 is about 58422.9408708600. The cubic root of 3413240020 is about 1505.6439255833.

Adding to 3413240020 its reverse (200423143), we get a palindrome (3613663163).

The spelling of 3413240020 in words is "three billion, four hundred thirteen million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 179 230 358 460 716 895 1790 3580 4117 8234 16468 20585 41170 41453 82340 82906 165812 207265 414530 829060 953419 1906838 3813676 4767095 7420087 9534190 14840174 19068380 29680348 37100435 74200870 148401740 170662001 341324002 682648004 853310005 1706620010 3413240020