Search a number
-
+
350154640 = 24511261593
BaseRepresentation
bin10100110111101…
…110111110010000
3220101212200212101
4110313232332100
51204114422030
654425010144
711451160003
oct2467567620
9811780771
10350154640
1116a720400
1299323954
135770b6c4
143470b53a
1520b197ca
hex14deef90

350154640 has 120 divisors (see below), whose sum is σ = 911051064. Its totient is φ = 125030400.

The previous prime is 350154617. The next prime is 350154697. The reversal of 350154640 is 46451053.

It can be written as a sum of positive squares in 4 ways, for example, as 2108304 + 348046336 = 1452^2 + 18656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 350154599 and 350154608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590184 + ... + 590776.

Almost surely, 2350154640 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 350154640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455525532).

350154640 is an abundant number, since it is smaller than the sum of its proper divisors (560896424).

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

350154640 is a wasteful number, since it uses less digits than its factorization.

350154640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 350154640 is about 18712.4194053041. The cubic root of 350154640 is about 704.8336478555.

The spelling of 350154640 in words is "three hundred fifty million, one hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 121 122 176 220 242 244 305 440 484 488 593 605 610 671 880 968 976 1186 1210 1220 1342 1936 2372 2420 2440 2684 2965 3355 4744 4840 4880 5368 5930 6523 6710 7381 9488 9680 10736 11860 13046 13420 14762 23720 26092 26840 29524 32615 36173 36905 47440 52184 53680 59048 65230 71753 72346 73810 104368 118096 130460 143506 144692 147620 180865 260920 287012 289384 295240 358765 361730 397903 521840 574024 578768 590480 717530 723460 795806 1148048 1435060 1446920 1591612 1989515 2870120 2893840 3183224 3979030 4376933 5740240 6366448 7958060 8753866 15916120 17507732 21884665 31832240 35015464 43769330 70030928 87538660 175077320 350154640