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3685704100 = 22521324672
BaseRepresentation
bin1101101110101111…
…0110000110100100
3100111212022011112021
43123223312012210
530022020012400
61405421232524
7160222653001
oct33353660644
910455264467
103685704100
111621536051
1286a402744
13469789900
1426d6dc8a8
1516889071a
hexdbaf61a4

3685704100 has 81 divisors (see below), whose sum is σ = 8679117027. Its totient is φ = 1357961280.

The previous prime is 3685704073. The next prime is 3685704101. The reversal of 3685704100 is 14075863.

The square root of 3685704100 is 60710.

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

It can be written as a sum of positive squares in 4 ways, for example, as 949995684 + 2735708416 = 30822^2 + 52304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3685704101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7892067 + ... + 7892533.

Almost surely, 23685704100 is an apocalyptic number.

3685704100 is the 60710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3685704100

3685704100 is an abundant number, since it is smaller than the sum of its proper divisors (4993412927).

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

3685704100 is a wasteful number, since it uses less digits than its factorization.

3685704100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The cubic root of 3685704100 is about 1544.6858038028.

Adding to 3685704100 its reverse (14075863), we get a palindrome (3699779963).

The spelling of 3685704100 in words is "three billion, six hundred eighty-five million, seven hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 467 650 676 845 934 1300 1690 1868 2335 3380 4225 4670 6071 8450 9340 11675 12142 16900 23350 24284 30355 46700 60710 78923 121420 151775 157846 218089 303550 315692 394615 436178 607100 789230 872356 1090445 1578460 1973075 2180890 2835157 3946150 4361780 5452225 5670314 7892300 10904450 11340628 14175785 21808900 28351570 36857041 56703140 70878925 73714082 141757850 147428164 184285205 283515700 368570410 737140820 921426025 1842852050 3685704100