Search a number
-
+
348400134 = 23231679319
BaseRepresentation
bin10100110001000…
…010101000000110
3220021120120010200
4110301002220012
51203142301014
654323231330
711430231555
oct2461025006
9807516120
10348400134
111697321a5
1298818546
1357245c34
14343b1d9c
15208bea09
hex14c42a06

348400134 has 48 divisors (see below), whose sum is σ = 790932480. Its totient is φ = 110697840.

The previous prime is 348400121. The next prime is 348400139. The reversal of 348400134 is 431004843.

It is a junction number, because it is equal to n+sod(n) for n = 348400098 and 348400107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348400139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32727 + ... + 42045.

It is an arithmetic number, because the mean of its divisors is an integer number (16477760).

Almost surely, 2348400134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348400134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395466240).

348400134 is an abundant number, since it is smaller than the sum of its proper divisors (442532346).

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

348400134 is a wasteful number, since it uses less digits than its factorization.

348400134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9425 (or 9422 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 348400134 is about 18665.4797420265. The cubic root of 348400134 is about 703.6544487779.

Adding to 348400134 its reverse (431004843), we get a palindrome (779404977).

The spelling of 348400134 in words is "three hundred forty-eight million, four hundred thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 67 93 134 186 201 279 402 558 603 1206 2077 4154 6231 9319 12462 18638 18693 27957 37386 55914 83871 167742 288889 577778 624373 866667 1248746 1733334 1873119 2600001 3746238 5200002 5619357 11238714 19355563 38711126 58066689 116133378 174200067 348400134