Search a number
-
+
345036150 = 232521993853
BaseRepresentation
bin10100100100001…
…101010101110110
3220001020122121200
4110210031111312
51201312124100
654123153330
711356521204
oct2444152566
9801218550
10345036150
11167844848
1297675846
1356638a04
1433b78074
1520457e00
hex1490d576

345036150 has 72 divisors (see below), whose sum is σ = 931897200. Its totient is φ = 91523520.

The previous prime is 345036149. The next prime is 345036173. The reversal of 345036150 is 51630543.

345036150 is a `hidden beast` number, since 3 + 4 + 503 + 6 + 150 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87624 + ... + 91476.

Almost surely, 2345036150 is an apocalyptic number.

345036150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345036150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465948600).

345036150 is an abundant number, since it is smaller than the sum of its proper divisors (586861050).

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

345036150 is a wasteful number, since it uses less digits than its factorization.

345036150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 345036150 is about 18575.1487208044. The cubic root of 345036150 is about 701.3824041982.

Adding to 345036150 its reverse (51630543), we get a palindrome (396666693).

The spelling of 345036150 in words is "three hundred forty-five million, thirty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 199 225 398 450 597 995 1194 1791 1990 2985 3582 3853 4975 5970 7706 8955 9950 11559 14925 17910 19265 23118 29850 34677 38530 44775 57795 69354 89550 96325 115590 173385 192650 288975 346770 577950 766747 866925 1533494 1733850 2300241 3833735 4600482 6900723 7667470 11501205 13801446 19168675 23002410 34503615 38337350 57506025 69007230 115012050 172518075 345036150