| Base | Representation |
|---|---|
| bin | 10100110011110… |
| … | …011110011010000 |
| 3 | 220022221102121200 |
| 4 | 110303303303100 |
| 5 | 1203334011330 |
| 6 | 54350551200 |
| 7 | 11436343410 |
| oct | 2463636320 |
| 9 | 808842550 |
| 10 | 349125840 |
| 11 | 16a088458 |
| 12 | 98b08500 |
| 13 | 5743b34b |
| 14 | 34520640 |
| 15 | 209b4a60 |
| hex | 14cf3cd0 |
349125840 has 240 divisors, whose sum is σ = 1366305408. Its totient is φ = 78234624.
The previous prime is 349125839. The next prime is 349125841. The reversal of 349125840 is 48521943.
It is an interprime number because it is at equal distance from previous prime (349125839) and next prime (349125841).
It is a tau number, because it is divible by the number of its divisors (240).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 349125795 and 349125804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (349125841) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266467 + ... + 267773.
Almost surely, 2349125840 is an apocalyptic number.
349125840 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 349125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683152704).
349125840 is an abundant number, since it is smaller than the sum of its proper divisors (1017179568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
349125840 is a wasteful number, since it uses less digits than its factorization.
349125840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1386 (or 1377 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 349125840 is about 18684.9094191008. The cubic root of 349125840 is about 704.1426729606.
The spelling of 349125840 in words is "three hundred forty-nine million, one hundred twenty-five thousand, eight hundred forty".
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