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346048040 = 235133121467
BaseRepresentation
bin10100101000000…
…100011000101000
3220010011001200002
4110220010120220
51202042014130
654201002132
711401234262
oct2450043050
9803131602
10346048040
11168376018
1297a83348
1356901470
1433d5cb32
15205a7b45
hex14a04628

346048040 has 64 divisors (see below), whose sum is σ = 865589760. Its totient is φ = 123644160.

The previous prime is 346048019. The next prime is 346048051. The reversal of 346048040 is 40840643.

It is a junction number, because it is equal to n+sod(n) for n = 346047994 and 346048012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5387 + ... + 26853.

It is an arithmetic number, because the mean of its divisors is an integer number (13524840).

Almost surely, 2346048040 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 346048040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432794880).

346048040 is an abundant number, since it is smaller than the sum of its proper divisors (519541720).

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

346048040 is a wasteful number, since it uses less digits than its factorization.

346048040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21522 (or 21518 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 346048040 is about 18602.3665161183. The cubic root of 346048040 is about 702.0673847594.

Adding to 346048040 its reverse (40840643), we get a palindrome (386888683).

The spelling of 346048040 in words is "three hundred forty-six million, forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 16120 21467 42934 85868 107335 171736 214670 279071 429340 558142 665477 858680 1116284 1330954 1395355 2232568 2661908 2790710 3327385 5323816 5581420 6654770 8651201 11162840 13309540 17302402 26619080 34604804 43256005 69209608 86512010 173024020 346048040