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3413344020 = 2235896311013
BaseRepresentation
bin1100101101110011…
…0111111100010100
322210212210211201220
43023130313330110
523442304002040
61322411450340
7150404642202
oct31334677424
98725724656
103413344020
1114a181a979
127b31569b0
134252187b8
14245482072
1514e9e12d0
hexcb737f14

3413344020 has 96 divisors (see below), whose sum is σ = 9689621760. Its totient is φ = 897684480.

The previous prime is 3413344007. The next prime is 3413344021. The reversal of 3413344020 is 204433143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413344021) 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 31 ways as a sum of consecutive naturals, for example, 3369034 + ... + 3370046.

It is an arithmetic number, because the mean of its divisors is an integer number (100933560).

Almost surely, 23413344020 is an apocalyptic number.

3413344020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844810880).

3413344020 is an abundant number, since it is smaller than the sum of its proper divisors (6276277740).

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

3413344020 is a wasteful number, since it uses less digits than its factorization.

3413344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3413344020 is about 58423.8309254023. The cubic root of 3413344020 is about 1505.6592175421.

Adding to 3413344020 its reverse (204433143), we get a palindrome (3617777163).

The spelling of 3413344020 in words is "three billion, four hundred thirteen million, three hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 631 890 1013 1068 1262 1335 1780 1893 2026 2524 2670 3039 3155 3786 4052 5065 5340 6078 6310 7572 9465 10130 12156 12620 15195 18930 20260 30390 37860 56159 60780 90157 112318 168477 180314 224636 270471 280795 336954 360628 450785 540942 561590 639203 673908 842385 901570 1081884 1123180 1278406 1352355 1684770 1803140 1917609 2556812 2704710 3196015 3369540 3835218 5409420 6392030 7670436 9588045 12784060 19176090 38352180 56889067 113778134 170667201 227556268 284445335 341334402 568890670 682668804 853336005 1137781340 1706672010 3413344020