Search a number
-
+
412465350 = 235211457547
BaseRepresentation
bin11000100101011…
…011100011000110
31001202010102002110
4120211123203012
51321042342400
6104532321450
713135616613
oct3045334306
91052112073
10412465350
111a190a360
12b6173286
13675b734b
143cacb50a
1526326e50
hex1895b8c6

412465350 has 96 divisors (see below), whose sum is σ = 1120392576. Its totient is φ = 99590400.

The previous prime is 412465349. The next prime is 412465351. The reversal of 412465350 is 53564214.

412465350 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (412465349) and next prime (412465351).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412465351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753777 + ... + 754323.

It is an arithmetic number, because the mean of its divisors is an integer number (11670756).

Almost surely, 2412465350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412465350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196288).

412465350 is an abundant number, since it is smaller than the sum of its proper divisors (707927226).

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

412465350 is a wasteful number, since it uses less digits than its factorization.

412465350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 412465350 is about 20309.2429696432. The cubic root of 412465350 is about 744.3819326155.

The spelling of 412465350 in words is "four hundred twelve million, four hundred sixty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 457 547 550 825 914 1094 1371 1641 1650 2285 2735 2742 3282 4570 5027 5470 6017 6855 8205 10054 11425 12034 13675 13710 15081 16410 18051 22850 25135 27350 30085 30162 34275 36102 41025 50270 60170 68550 75405 82050 90255 125675 150425 150810 180510 249979 251350 300850 377025 451275 499958 749937 754050 902550 1249895 1499874 2499790 2749769 3749685 5499538 6249475 7499370 8249307 12498950 13748845 16498614 18748425 27497690 37496850 41246535 68744225 82493070 137488450 206232675 412465350