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350434040 = 235115913499
BaseRepresentation
bin10100111000110…
…011001011111000
3220102101220010112
4110320303023320
51204202342130
654435003452
711453432405
oct2470631370
9812356115
10350434040
1116a8a1310
1299439588
13577a8928
14347812ac
1520b72495
hex14e332f8

350434040 has 64 divisors (see below), whose sum is σ = 874800000. Its totient is φ = 125261440.

The previous prime is 350434027. The next prime is 350434079. The reversal of 350434040 is 40434053.

It is a happy number.

350434040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 350433997 and 350434015.

It is a congruent number.

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, 19211 + ... + 32709.

It is an arithmetic number, because the mean of its divisors is an integer number (13668750).

Almost surely, 2350434040 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 350434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437400000).

350434040 is an abundant number, since it is smaller than the sum of its proper divisors (524365960).

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

350434040 is a wasteful number, since it uses less digits than its factorization.

350434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13580 (or 13576 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 350434040 is about 18719.8835466463. The cubic root of 350434040 is about 705.0210680625.

Adding to 350434040 its reverse (40434053), we get a palindrome (390868093).

The spelling of 350434040 in words is "three hundred fifty million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 2360 2596 3245 5192 6490 12980 13499 25960 26998 53996 67495 107992 134990 148489 269980 296978 539960 593956 742445 796441 1187912 1484890 1592882 2969780 3185764 3982205 5939560 6371528 7964410 8760851 15928820 17521702 31857640 35043404 43804255 70086808 87608510 175217020 350434040