Search a number
-
+
350697960 = 23325974161
BaseRepresentation
bin10100111001110…
…011100111101000
3220102220022011100
4110321303213220
51204234313320
654444401400
711455612014
oct2471634750
9812808140
10350697960
1116aa61628
1299546260
135786bab2
143480d544
1520bc5790
hex14e739e8

350697960 has 48 divisors (see below), whose sum is σ = 1139769540. Its totient is φ = 93519360.

The previous prime is 350697959. The next prime is 350697983. The reversal of 350697960 is 69796053.

It can be written as a sum of positive squares in 2 ways, for example, as 349764804 + 933156 = 18702^2 + 966^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486721 + ... + 487440.

Almost surely, 2350697960 is an apocalyptic number.

350697960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350697960 is an abundant number, since it is smaller than the sum of its proper divisors (789071580).

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

350697960 is a wasteful number, since it uses less digits than its factorization.

350697960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974178 (or 974171 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 350697960 is about 18726.9314090697. The cubic root of 350697960 is about 705.1980128867.

The spelling of 350697960 in words is "three hundred fifty million, six hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 974161 1948322 2922483 3896644 4870805 5844966 7793288 8767449 9741610 11689932 14612415 17534898 19483220 23379864 29224830 35069796 38966440 43837245 58449660 70139592 87674490 116899320 175348980 350697960