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349661430 = 23253885127
BaseRepresentation
bin10100110101110…
…110100011110110
3220100221122022100
4110311312203312
51204003131210
654410242530
711444034036
oct2465664366
9810848270
10349661430
1116a413898
1299126446
1357598071
143461d8c6
1520a6d5c0
hex14d768f6

349661430 has 24 divisors (see below), whose sum is σ = 909119952. Its totient is φ = 93243024.

The previous prime is 349661419. The next prime is 349661441. The reversal of 349661430 is 34166943.

349661430 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 614 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (349661419) and next prime (349661441).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1942474 + ... + 1942653.

It is an arithmetic number, because the mean of its divisors is an integer number (37879998).

Almost surely, 2349661430 is an apocalyptic number.

349661430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

349661430 is an abundant number, since it is smaller than the sum of its proper divisors (559458522).

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

349661430 is a wasteful number, since it uses less digits than its factorization.

349661430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885140 (or 3885137 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 349661430 is about 18699.2360806531. The cubic root of 349661430 is about 704.5025614249.

The spelling of 349661430 in words is "three hundred forty-nine million, six hundred sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3885127 7770254 11655381 19425635 23310762 34966143 38851270 58276905 69932286 116553810 174830715 349661430