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3334402100 = 2252171961413
BaseRepresentation
bin1100011010111110…
…1111000000110100
322121101021011210002
43012233233000310
523312101331400
61310511450432
7145425643631
oct30657570064
98541234702
103334402100
111461201717
12790826a18
13411a68bc3
14238bb3188
15147aeaed5
hexc6bef034

3334402100 has 36 divisors (see below), whose sum is σ = 7661283084. Its totient is φ = 1255303680.

The previous prime is 3334402061. The next prime is 3334402109. The reversal of 3334402100 is 12044333.

It can be written as a sum of positive squares in 6 ways, for example, as 313360804 + 3021041296 = 17702^2 + 54964^2 .

It is a super-2 number, since 2×33344021002 = 22236474728968820000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334402109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 979007 + ... + 982406.

It is an arithmetic number, because the mean of its divisors is an integer number (212813419).

Almost surely, 23334402100 is an apocalyptic number.

It is an amenable number.

3334402100 is an abundant number, since it is smaller than the sum of its proper divisors (4326880984).

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

3334402100 is a wasteful number, since it uses less digits than its factorization.

3334402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961444 (or 1961437 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3334402100 is about 57744.2819680010. The cubic root of 3334402100 is about 1493.9612176594.

Adding to 3334402100 its reverse (12044333), we get a palindrome (3346446433).

The spelling of 3334402100 in words is "three billion, three hundred thirty-four million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1961413 3922826 7845652 9807065 19614130 33344021 39228260 49035325 66688042 98070650 133376084 166720105 196141300 333440210 666880420 833600525 1667201050 3334402100