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350440940 = 225194183271
BaseRepresentation
bin10100111000110…
…100110111101100
3220102102020121002
4110320310313230
51204203102230
654435055432
711453461463
oct2470646754
9812366532
10350440940
1116a8a6513
1299441578
13577abb05
14347839da
1520b74545
hex14e34dec

350440940 has 96 divisors (see below), whose sum is σ = 806077440. Its totient is φ = 127526400.

The previous prime is 350440933. The next prime is 350440963. The reversal of 350440940 is 49044053.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293005 + ... + 1293275.

It is an arithmetic number, because the mean of its divisors is an integer number (8396640).

Almost surely, 2350440940 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 350440940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403038720).

350440940 is an abundant number, since it is smaller than the sum of its proper divisors (455636500).

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

350440940 is a wasteful number, since it uses less digits than its factorization.

350440940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 350440940 is about 18720.0678417574. The cubic root of 350440940 is about 705.0256952893.

Adding to 350440940 its reverse (49044053), we get a palindrome (399484993).

It can be divided in two parts, 3504 and 40940, that added together give a palindrome (44444).

The spelling of 350440940 in words is "three hundred fifty million, four hundred forty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 83 95 164 166 190 205 271 332 380 410 415 542 779 820 830 1084 1355 1558 1577 1660 2710 3116 3154 3403 3895 5149 5420 6308 6806 7790 7885 10298 11111 13612 15580 15770 17015 20596 22222 22493 25745 31540 34030 44444 44986 51490 55555 64657 68060 89972 102980 111110 112465 129314 211109 222220 224930 258628 323285 422218 427367 449860 646570 844436 854734 922213 1055545 1293140 1709468 1844426 2111090 2136835 3688852 4222180 4273670 4611065 8547340 9222130 17522047 18444260 35044094 70088188 87610235 175220470 350440940