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350136420 = 2235172291499
BaseRepresentation
bin10100110111101…
…010100001100100
3220101211202212120
4110313222201210
51204113331140
654424345540
711451052614
oct2467524144
9811752776
10350136420
1116a708747
12993152b0
135770331a
1434704a44
1520b141d0
hex14dea864

350136420 has 96 divisors (see below), whose sum is σ = 1043280000. Its totient is φ = 87435264.

The previous prime is 350136379. The next prime is 350136431. The reversal of 350136420 is 24631053.

It is a happy number.

It is a super-2 number, since 2×3501364202 = 245191025220832800, which contains 22 as substring.

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, 232831 + ... + 234329.

It is an arithmetic number, because the mean of its divisors is an integer number (10867500).

Almost surely, 2350136420 is an apocalyptic number.

350136420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350136420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521640000).

350136420 is an abundant number, since it is smaller than the sum of its proper divisors (693143580).

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

350136420 is a wasteful number, since it uses less digits than its factorization.

350136420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 350136420 is about 18711.9325565266. The cubic root of 350136420 is about 704.8214225029.

Adding to 350136420 its reverse (24631053), we get a palindrome (374767473).

The spelling of 350136420 in words is "three hundred fifty million, one hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 229 255 340 458 510 687 916 1020 1145 1374 1499 2290 2748 2998 3435 3893 4497 4580 5996 6870 7495 7786 8994 11679 13740 14990 15572 17988 19465 22485 23358 25483 29980 38930 44970 46716 50966 58395 76449 77860 89940 101932 116790 127415 152898 233580 254830 305796 343271 382245 509660 686542 764490 1029813 1373084 1528980 1716355 2059626 3432710 4119252 5149065 5835607 6865420 10298130 11671214 17506821 20596260 23342428 29178035 35013642 58356070 70027284 87534105 116712140 175068210 350136420