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342786816 = 283461271
BaseRepresentation
bin10100011011101…
…000001100000000
3212220000101010000
4110123220030000
51200223134231
654003040000
711331432321
oct2433501400
9786011100
10342786816
11166548899
1296970000
135602bc48
1433750448
15201616e6
hex146e8300

342786816 has 180 divisors, whose sum is σ = 1042717984. Its totient is φ = 111974400.

The previous prime is 342786811. The next prime is 342786859. The reversal of 342786816 is 618687243.

It is a super-3 number, since 3×3427868163 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) 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 (342786811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1264761 + ... + 1265031.

Almost surely, 2342786816 is an apocalyptic number.

342786816 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 342786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521358992).

342786816 is an abundant number, since it is smaller than the sum of its proper divisors (699931168).

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

342786816 is an equidigital number, since it uses as much as digits as its factorization.

342786816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 337 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 342786816 is about 18514.5028558695. The cubic root of 342786816 is about 699.8549468151.

The spelling of 342786816 in words is "three hundred forty-two million, seven hundred eighty-six thousand, eight hundred sixteen".