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3389354496 = 29331131719
BaseRepresentation
bin1100101000000101…
…0111001000000000
322202012200001022000
43022001113020000
523420133320441
61320153344000
7146664015663
oct31201271000
98665601260
103389354496
11148a225220
127a7108000
13420269508
142421d96da
1514c8532b6
hexca057200

3389354496 has 320 divisors, whose sum is σ = 11313561600. Its totient is φ = 992563200.

The previous prime is 3389354491. The next prime is 3389354531. The reversal of 3389354496 is 6944539833.

3389354496 is a `hidden beast` number, since 3 + 3 + 8 + 9 + 3 + 544 + 96 = 666.

It is a super-2 number, since 2×33893544962 = 22975447799110828032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3389354491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4713625 + ... + 4714343.

It is an arithmetic number, because the mean of its divisors is an integer number (35354880).

Almost surely, 23389354496 is an apocalyptic number.

3389354496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3389354496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656780800).

3389354496 is an abundant number, since it is smaller than the sum of its proper divisors (7924207104).

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

3389354496 is a wasteful number, since it uses less digits than its factorization.

3389354496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 766 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The square root of 3389354496 is about 58218.1629390691. The cubic root of 3389354496 is about 1502.1235841748.

The spelling of 3389354496 in words is "three billion, three hundred eighty-nine million, three hundred fifty-four thousand, four hundred ninety-six".