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3450753020 = 225112131923251
BaseRepresentation
bin1100110110101110…
…0100111111111100
322220111012102020102
43031223210333330
524031343044040
61330225340232
7151340626301
oct31553447774
98814172212
103450753020
111510950900
12803797678
1342cbb5bc0
1424a41d0a8
15152e30515
hexcdae4ffc

3450753020 has 288 divisors, whose sum is σ = 9459555840. Its totient is φ = 1045440000.

The previous prime is 3450753013. The next prime is 3450753037. The reversal of 3450753020 is 203570543.

It is a congruent number.

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, 13747895 + ... + 13748145.

It is an arithmetic number, because the mean of its divisors is an integer number (32845680).

Almost surely, 23450753020 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 3450753020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729777920).

3450753020 is an abundant number, since it is smaller than the sum of its proper divisors (6008802820).

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

3450753020 is a wasteful number, since it uses less digits than its factorization.

3450753020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 29.

The square root of 3450753020 is about 58743.1104045402. The cubic root of 3450753020 is about 1511.1397356930.

The spelling of 3450753020 in words is "three billion, four hundred fifty million, seven hundred fifty-three thousand, twenty".