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349446630 = 235133312707
BaseRepresentation
bin10100110101000…
…010000111100110
3220100112201122210
4110311002013212
51203424243010
654401504250
711442150561
oct2465020746
9810481583
10349446630
1116a287475
1299042086
1357521370
14345a54d8
1520a29b20
hex14d421e6

349446630 has 64 divisors (see below), whose sum is σ = 906248448. Its totient is φ = 85726080.

The previous prime is 349446599. The next prime is 349446631. The reversal of 349446630 is 36644943.

It is a happy number.

It is a super-2 number, since 2×3494466302 = 244225894436713800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349446631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127737 + ... + 130443.

It is an arithmetic number, because the mean of its divisors is an integer number (14160132).

Almost surely, 2349446630 is an apocalyptic number.

349446630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 349446630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453124224).

349446630 is an abundant number, since it is smaller than the sum of its proper divisors (556801818).

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

349446630 is a wasteful number, since it uses less digits than its factorization.

349446630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061.

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 349446630 is about 18693.4916481646. The cubic root of 349446630 is about 704.3582712297.

The spelling of 349446630 in words is "three hundred forty-nine million, four hundred forty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 331 390 662 993 1655 1986 2707 3310 4303 4965 5414 8121 8606 9930 12909 13535 16242 21515 25818 27070 35191 40605 43030 64545 70382 81210 105573 129090 175955 211146 351910 527865 896017 1055730 1792034 2688051 4480085 5376102 8960170 11648221 13440255 23296442 26880510 34944663 58241105 69889326 116482210 174723315 349446630