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3409392100 = 225258392
BaseRepresentation
bin1100101100110111…
…0011000111100100
322210121101001201111
43023031303013210
523440301021400
61322151034404
7150326232442
oct31315630744
98717331644
103409392100
11149a570824
127b196ba04
13424463a9a
14244b33b92
1514e4b03ba
hexcb3731e4

3409392100 has 27 divisors (see below), whose sum is σ = 7399648137. Its totient is φ = 1363523280.

The previous prime is 3409392037. The next prime is 3409392131. The reversal of 3409392100 is 12939043.

The square root of 3409392100 is 58390.

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., 1227381156 + 2182010944 = 35034^2 + 46712^2 .

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, 580981 + ... + 586819.

Almost surely, 23409392100 is an apocalyptic number.

3409392100 is the 58390-th square number.

It is an amenable number.

3409392100 is an abundant number, since it is smaller than the sum of its proper divisors (3990256037).

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

3409392100 is an frugal number, since it uses more digits than its factorization.

3409392100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The cubic root of 3409392100 is about 1505.0779163717.

The spelling of 3409392100 in words is "three billion, four hundred nine million, three hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5839 11678 23356 29195 58390 116780 145975 291950 583900 34093921 68187842 136375684 170469605 340939210 681878420 852348025 1704696050 3409392100