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349238940 = 22358776637
BaseRepresentation
bin10100110100001…
…111011010011100
3220100011011202120
4110310033122130
51203401121230
654353222540
711440324221
oct2464173234
9810134676
10349238940
1116a155426
1298b61a50
135747a97b
143454d948
15209d8310
hex14d0f69c

349238940 has 48 divisors (see below), whose sum is σ = 979131552. Its totient is φ = 93010176.

The previous prime is 349238927. The next prime is 349238959. The reversal of 349238940 is 49832943.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 349238892 and 349238901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49302 + ... + 55938.

It is an arithmetic number, because the mean of its divisors is an integer number (20398574).

Almost surely, 2349238940 is an apocalyptic number.

349238940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349238940 is an abundant number, since it is smaller than the sum of its proper divisors (629892612).

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

349238940 is a wasteful number, since it uses less digits than its factorization.

349238940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 349238940 is about 18687.9356805400. The cubic root of 349238940 is about 704.2187008843.

The spelling of 349238940 in words is "three hundred forty-nine million, two hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 877 1754 2631 3508 4385 5262 6637 8770 10524 13155 13274 17540 19911 26310 26548 33185 39822 52620 66370 79644 99555 132740 199110 398220 5820649 11641298 17461947 23282596 29103245 34923894 58206490 69847788 87309735 116412980 174619470 349238940