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348039900 = 22325213151197
BaseRepresentation
bin10100101111101…
…010101011011100
3220020220020222200
4110233222223130
51203044234100
654311411500
711424201405
oct2457525334
9806806880
10348039900
1116950658a
1298683b90
135714ac90
143431a9ac
152084ce00
hex14beaadc

348039900 has 216 divisors, whose sum is σ = 1188611424. Its totient is φ = 84672000.

The previous prime is 348039889. The next prime is 348039911. The reversal of 348039900 is 9930843.

It is an interprime number because it is at equal distance from previous prime (348039889) and next prime (348039911).

It is a super-2 number, since 2×3480399002 = 242263543984020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1766602 + ... + 1766798.

Almost surely, 2348039900 is an apocalyptic number.

348039900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348039900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594305712).

348039900 is an abundant number, since it is smaller than the sum of its proper divisors (840571524).

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

348039900 is a wasteful number, since it uses less digits than its factorization.

348039900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 348039900 is about 18655.8275077789. The cubic root of 348039900 is about 703.4118468139.

The spelling of 348039900 in words is "three hundred forty-eight million, thirty-nine thousand, nine hundred".