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342699840 = 26325789191
BaseRepresentation
bin10100011011010…
…010111101000000
3212212211221210200
4110123102331000
51200212343330
654001125200
711330620620
oct2433227500
9785757720
10342699840
1116649950a
1296929800
1355ccb492
143372a880
1520145a60
hex146d2f40

342699840 has 336 divisors, whose sum is σ = 1369405440. Its totient is φ = 77045760.

The previous prime is 342699811. The next prime is 342699859. The reversal of 342699840 is 48996243.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1794145 + ... + 1794335.

Almost surely, 2342699840 is an apocalyptic number.

342699840 is a gapful number since it is divisible by the number (30) 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 342699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684702720).

342699840 is an abundant number, since it is smaller than the sum of its proper divisors (1026705600).

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

342699840 is a wasteful number, since it uses less digits than its factorization.

342699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 342699840 is about 18512.1538455146. The cubic root of 342699840 is about 699.7957499323.

The spelling of 342699840 in words is "three hundred forty-two million, six hundred ninety-nine thousand, eight hundred forty".