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342146496 = 2634094357
BaseRepresentation
bin10100011001001…
…011110111000000
3212211210211202110
4110121023313000
51200042141441
653541215320
711323124436
oct2431136700
9784724673
10342146496
111661507aa
1296701540
1355b66663
1433624d56
1520086b16
hex1464bdc0

342146496 has 56 divisors (see below), whose sum is σ = 907684240. Its totient is φ = 113743872.

The previous prime is 342146491. The next prime is 342146537. The reversal of 342146496 is 694641243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342146491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76350 + ... + 80706.

Almost surely, 2342146496 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 342146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453842120).

342146496 is an abundant number, since it is smaller than the sum of its proper divisors (565537744).

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

342146496 is a wasteful number, since it uses less digits than its factorization.

342146496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781 (or 4771 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 342146496 is about 18497.2023830632. The cubic root of 342146496 is about 699.4189027761.

The spelling of 342146496 in words is "three hundred forty-two million, one hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 409 818 1227 1636 2454 3272 4357 4908 6544 8714 9816 13071 13088 17428 19632 26142 26176 34856 39264 52284 69712 78528 104568 139424 209136 278848 418272 836544 1782013 3564026 5346039 7128052 10692078 14256104 21384156 28512208 42768312 57024416 85536624 114048832 171073248 342146496