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349400601 = 33111176433
BaseRepresentation
bin10100110100110…
…110111000011001
3220100110101112000
4110310312320121
51203421304401
654400511213
711441566434
oct2464667031
9810411460
10349400601
1116a255930
129901b509
1357506424
143459281b
1520a1b186
hex14d36e19

349400601 has 16 divisors (see below), whose sum is σ = 564688320. Its totient is φ = 211757760.

The previous prime is 349400599. The next prime is 349400627. The reversal of 349400601 is 106004943.

It is not a de Polignac number, because 349400601 - 21 = 349400599 is a prime.

It is a super-2 number, since 2×3494006012 = 244161559958322402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (349400641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587920 + ... + 588513.

It is an arithmetic number, because the mean of its divisors is an integer number (35293020).

Almost surely, 2349400601 is an apocalyptic number.

It is an amenable number.

349400601 is a deficient number, since it is larger than the sum of its proper divisors (215287719).

349400601 is a wasteful number, since it uses less digits than its factorization.

349400601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176453 (or 1176447 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 349400601 is about 18692.2604572053. The cubic root of 349400601 is about 704.3273439219.

The spelling of 349400601 in words is "three hundred forty-nine million, four hundred thousand, six hundred one".

Divisors: 1 3 9 11 27 33 99 297 1176433 3529299 10587897 12940763 31763691 38822289 116466867 349400601