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349835440 = 24510214283
BaseRepresentation
bin10100110110100…
…001000010110000
3220101021111000011
4110312201002300
51204024213230
654414104304
711445360253
oct2466410260
9811244004
10349835440
1116a5225a9
12991ab094
1357629326
143466709a
1520aa4e2a
hex14da10b0

349835440 has 40 divisors (see below), whose sum is σ = 814354128. Its totient is φ = 139764480.

The previous prime is 349835419. The next prime is 349835443. The reversal of 349835440 is 44538943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 349835393 and 349835402.

It is not an unprimeable number, because it can be changed into a prime (349835443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79539 + ... + 83821.

Almost surely, 2349835440 is an apocalyptic number.

It is an amenable number.

349835440 is an abundant number, since it is smaller than the sum of its proper divisors (464518688).

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

349835440 is a wasteful number, since it uses less digits than its factorization.

349835440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 349835440 is about 18703.8883657918. Note that the first 3 decimals coincide. The cubic root of 349835440 is about 704.6194079417.

The spelling of 349835440 in words is "three hundred forty-nine million, eight hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1021 2042 4084 4283 5105 8168 8566 10210 16336 17132 20420 21415 34264 40840 42830 68528 81680 85660 171320 342640 4372943 8745886 17491772 21864715 34983544 43729430 69967088 87458860 174917720 349835440