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349128340 = 225117321739
BaseRepresentation
bin10100110011110…
…100011010010100
3220022221120001021
4110303310122110
51203334101330
654351010524
711436353611
oct2463643224
9808846037
10349128340
1116a08a320
1298b09a44
135743c522
1434521508
15209b567a
hex14cf4694

349128340 has 48 divisors (see below), whose sum is σ = 810815040. Its totient is φ = 125210880.

The previous prime is 349128313. The next prime is 349128341. The reversal of 349128340 is 43821943.

It is a junction number, because it is equal to n+sod(n) for n = 349128296 and 349128305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349128341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5191 + ... + 26929.

It is an arithmetic number, because the mean of its divisors is an integer number (16891980).

Almost surely, 2349128340 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 349128340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405407520).

349128340 is an abundant number, since it is smaller than the sum of its proper divisors (461686700).

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

349128340 is a wasteful number, since it uses less digits than its factorization.

349128340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21832 (or 21830 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 349128340 is about 18684.9763178871. The cubic root of 349128340 is about 704.1443536845.

The spelling of 349128340 in words is "three hundred forty-nine million, one hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 16060 21739 43478 86956 108695 217390 239129 434780 478258 956516 1195645 1586947 2391290 3173894 4782580 6347788 7934735 15869470 17456417 31738940 34912834 69825668 87282085 174564170 349128340