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349458540 = 22355824309
BaseRepresentation
bin10100110101000…
…101000001101100
3220100120022222220
4110311011001230
51203430133130
654402035340
711442230364
oct2465050154
9810508886
10349458540
1116a295412
1299048b50
1357526902
14345a99a4
1520a2d410
hex14d4506c

349458540 has 24 divisors (see below), whose sum is σ = 978484080. Its totient is φ = 93188928.

The previous prime is 349458523. The next prime is 349458547. The reversal of 349458540 is 45854943.

It is a junction number, because it is equal to n+sod(n) for n = 349458492 and 349458501.

It is not an unprimeable number, because it can be changed into a prime (349458547) 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, 2912095 + ... + 2912214.

It is an arithmetic number, because the mean of its divisors is an integer number (40770170).

Almost surely, 2349458540 is an apocalyptic number.

349458540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349458540 is an abundant number, since it is smaller than the sum of its proper divisors (629025540).

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

349458540 is a wasteful number, since it uses less digits than its factorization.

349458540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824321 (or 5824319 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 349458540 is about 18693.8102055199. The cubic root of 349458540 is about 704.3662732258.

The spelling of 349458540 in words is "three hundred forty-nine million, four hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5824309 11648618 17472927 23297236 29121545 34945854 58243090 69891708 87364635 116486180 174729270 349458540