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342649944 = 2332721331241
BaseRepresentation
bin10100011011000…
…110110001011000
3212212202102100200
4110123012301120
51200204244234
654000102200
711330322300
oct2433066130
9785672320
10342649944
11166464a7a
1296904960
1355cb1860
1433716600
1520135d99
hex146c6c58

342649944 has 288 divisors, whose sum is σ = 1205043840. Its totient is φ = 87091200.

The previous prime is 342649919. The next prime is 342649963. The reversal of 342649944 is 449946243.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 342649944.

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 71 ways as a sum of consecutive naturals, for example, 1421664 + ... + 1421904.

It is an arithmetic number, because the mean of its divisors is an integer number (4184180).

Almost surely, 2342649944 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 342649944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602521920).

342649944 is an abundant number, since it is smaller than the sum of its proper divisors (862393896).

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

342649944 is a wasteful number, since it uses less digits than its factorization.

342649944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 342649944 is about 18510.8061412787. The cubic root of 342649944 is about 699.7617856100.

The spelling of 342649944 in words is "three hundred forty-two million, six hundred forty-nine thousand, nine hundred forty-four".