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349854064 = 2473538849
BaseRepresentation
bin10100110110100…
…101100101110000
3220101022102112221
4110312211211300
51204030312224
654414330424
711445465460
oct2466454560
9811272487
10349854064
1116a53559a
12991b9a14
1357634951
143466dba0
1520aaa6e4
hex14da5970

349854064 has 40 divisors (see below), whose sum is σ = 776959200. Its totient is φ = 149495808.

The previous prime is 349854061. The next prime is 349854079. The reversal of 349854064 is 460458943.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 349854064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349854061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35112 + ... + 43960.

It is an arithmetic number, because the mean of its divisors is an integer number (19423980).

Almost surely, 2349854064 is an apocalyptic number.

It is an amenable number.

349854064 is an abundant number, since it is smaller than the sum of its proper divisors (427105136).

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

349854064 is a wasteful number, since it uses less digits than its factorization.

349854064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 349854064 is about 18704.3862235573. The cubic root of 349854064 is about 704.6319115339.

The spelling of 349854064 in words is "three hundred forty-nine million, eight hundred fifty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 353 706 1412 2471 2824 4942 5648 8849 9884 17698 19768 35396 39536 61943 70792 123886 141584 247772 495544 991088 3123697 6247394 12494788 21865879 24989576 43731758 49979152 87463516 174927032 349854064