Search a number
-
+
46314018 = 2341767251
BaseRepresentation
bin1011000010101…
…1001000100010
310020010222220000
42300223020202
543324022033
64332400430
71101443202
oct260531042
9106128800
1046314018
1124163453
1213616116
13979775a
146218402
1540eca13
hex2c2b222

46314018 has 80 divisors (see below), whose sum is σ = 111966624. Its totient is φ = 14256000.

The previous prime is 46314013. The next prime is 46314029. The reversal of 46314018 is 81041364.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 46313982 and 46314000.

It is not an unprimeable number, because it can be changed into a prime (46314011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 184393 + ... + 184643.

Almost surely, 246314018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46314018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55983312).

46314018 is an abundant number, since it is smaller than the sum of its proper divisors (65652606).

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

46314018 is a wasteful number, since it uses less digits than its factorization.

46314018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 46314018 is about 6805.4403237410. The cubic root of 46314018 is about 359.1182587978.

It can be divided in two parts, 4631 and 4018, that added together give a square (8649 = 932).

The spelling of 46314018 in words is "forty-six million, three hundred fourteen thousand, eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 67 81 102 134 153 162 201 251 306 402 459 502 603 753 918 1139 1206 1377 1506 1809 2259 2278 2754 3417 3618 4267 4518 5427 6777 6834 8534 10251 10854 12801 13554 16817 20331 20502 25602 30753 33634 38403 40662 50451 61506 76806 92259 100902 115209 151353 184518 230418 285889 302706 345627 454059 571778 691254 857667 908118 1362177 1715334 2573001 2724354 5146002 7719003 15438006 23157009 46314018