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3450373368 = 23313294171131
BaseRepresentation
bin1100110110101000…
…1000010011111000
322220110111010110020
43031222020103320
524031243421433
61330213250440
7151334455401
oct31552102370
98813433406
103450373368
111510711642
12803633a20
1342cab2160
1424a3609a8
15152da7cb3
hexcda884f8

3450373368 has 256 divisors, whose sum is σ = 10059033600. Its totient is φ = 978432000.

The previous prime is 3450373357. The next prime is 3450373369. The reversal of 3450373368 is 8633730543.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3450373369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26338663 + ... + 26338793.

It is an arithmetic number, because the mean of its divisors is an integer number (39293100).

Almost surely, 23450373368 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 3450373368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029516800).

3450373368 is an abundant number, since it is smaller than the sum of its proper divisors (6608660232).

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

3450373368 is a wasteful number, since it uses less digits than its factorization.

3450373368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The square root of 3450373368 is about 58739.8788558506. The cubic root of 3450373368 is about 1511.0843151070.

The spelling of 3450373368 in words is "three billion, four hundred fifty million, three hundred seventy-three thousand, three hundred sixty-eight".