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342691440 = 243571321771
BaseRepresentation
bin10100011011010…
…000111001110000
3212212211112021120
4110123100321300
51200212111230
654001022240
711330554260
oct2433207160
9785745246
10342691440
11166493173
1296924980
1355cc7700
14337277a0
1520143310
hex146d0e70

342691440 has 480 divisors, whose sum is σ = 1411623936. Its totient is φ = 67092480.

The previous prime is 342691409. The next prime is 342691441. The reversal of 342691440 is 44196243.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342691441) 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 95 ways as a sum of consecutive naturals, for example, 4826605 + ... + 4826675.

Almost surely, 2342691440 is an apocalyptic number.

342691440 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 342691440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705811968).

342691440 is an abundant number, since it is smaller than the sum of its proper divisors (1068932496).

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

342691440 is a wasteful number, since it uses less digits than its factorization.

342691440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 342691440 is about 18511.9269661481. The cubic root of 342691440 is about 699.7900322637.

The spelling of 342691440 in words is "three hundred forty-two million, six hundred ninety-one thousand, four hundred forty".