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3403921680784 = 24379212172
BaseRepresentation
bin110001100010001001100…
…010101110100110010000
3110001102010011011200010101
4301202021202232212100
5421232212422241114
611123423502542144
7500632231615552
oct61421142564620
913042104150111
103403921680784
1110a2660059979
1246b852597954
131b8cb079a601
14baa71c634d2
155d825591d74
hex318898ae990

3403921680784 has 45 divisors (see below), whose sum is σ = 6617983429857. Its totient is φ = 1696075379712.

The previous prime is 3403921680773. The next prime is 3403921680829. The reversal of 3403921680784 is 4870861293043.

The square root of 3403921680784 is 1844972.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1142290688400 + 2261630992384 = 1068780^2 + 1503872^2 .

It is a super-2 number, since 2×34039216807842 (a number of 26 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 2796976944 + ... + 2796978160.

Almost surely, 23403921680784 is an apocalyptic number.

3403921680784 is the 1844972-nd square number.

It is an amenable number.

3403921680784 is a deficient number, since it is larger than the sum of its proper divisors (3214061749073).

3403921680784 is an frugal number, since it uses more digits than its factorization.

3403921680784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 3403921680784 in words is "three trillion, four hundred three billion, nine hundred twenty-one million, six hundred eighty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 379 758 1217 1516 2434 3032 4868 6064 9736 19472 143641 287282 461243 574564 922486 1149128 1481089 1844972 2298256 2962178 3689944 5924356 7379888 11848712 23697424 174811097 349622194 561332731 699244388 1122665462 1398488776 2245330924 2796977552 4490661848 8981323696 212745105049 425490210098 850980420196 1701960840392 3403921680784