Search a number
-
+
3704020342704 = 24321131674192687
BaseRepresentation
bin110101111001101000110…
…100010001011110110000
3111010002201112202020120200
4311321220310101132300
5441141313201431304
611513334202435200
7531415035301263
oct65715064213660
914102645666520
103704020342704
1111a8958a13350
124b9a44b02b00
1320b397b91946
14cb3c0128cda
156653b73de39
hex35e68d117b0

3704020342704 has 480 divisors, whose sum is σ = 11880199618560. Its totient is φ = 1067059699200.

The previous prime is 3704020342679. The next prime is 3704020342717. The reversal of 3704020342704 is 4072430204073.

3704020342704 is a `hidden beast` number, since 370 + 40 + 203 + 42 + 7 + 0 + 4 = 666.

3704020342704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1378495249 + ... + 1378497935.

It is an arithmetic number, because the mean of its divisors is an integer number (24750415872).

Almost surely, 23704020342704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3704020342704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940099809280).

3704020342704 is an abundant number, since it is smaller than the sum of its proper divisors (8176179275856).

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

3704020342704 is a wasteful number, since it uses less digits than its factorization.

3704020342704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

Adding to 3704020342704 its reverse (4072430204073), we get a palindrome (7776450546777).

The spelling of 3704020342704 in words is "three trillion, seven hundred four billion, twenty million, three hundred forty-two thousand, seven hundred four".