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344700104 = 23727191223
BaseRepresentation
bin10100100010111…
…011010011001000
3220000121120122112
4110202323103020
51201220400404
654112041452
711353621400
oct2442732310
9800546575
10344700104
11167635321
1297533288
135654ba78
1433acb800
15203dd56e
hex148bb4c8

344700104 has 48 divisors (see below), whose sum is σ = 753494400. Its totient is φ = 147402528.

The previous prime is 344700091. The next prime is 344700107. The reversal of 344700104 is 401007443.

It is a super-2 number, since 2×3447001042 = 237636323395221632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 344700104.

It is not an unprimeable number, because it can be changed into a prime (344700107) 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 11 ways as a sum of consecutive naturals, for example, 281237 + ... + 282459.

It is an arithmetic number, because the mean of its divisors is an integer number (15697800).

Almost surely, 2344700104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344700104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376747200).

344700104 is an abundant number, since it is smaller than the sum of its proper divisors (408794296).

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

344700104 is a wasteful number, since it uses less digits than its factorization.

344700104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 344700104 is about 18566.1009369226. The cubic root of 344700104 is about 701.1546277644.

Adding to 344700104 its reverse (401007443), we get a palindrome (745707547).

The spelling of 344700104 in words is "three hundred forty-four million, seven hundred thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 719 1223 1438 2446 2876 4892 5033 5752 8561 9784 10066 17122 20132 34244 35231 40264 59927 68488 70462 119854 140924 239708 281848 479416 879337 1758674 3517348 6155359 7034696 12310718 24621436 43087513 49242872 86175026 172350052 344700104