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46384140 = 22351126389
BaseRepresentation
bin1011000011110…
…0010000001100
310020021120002010
42300330100030
543333243030
64334101220
71102154505
oct260742014
9106246063
1046384140
1124201100
121364a810
1397c064a
146235bac
1541136b0
hex2c3c40c

46384140 has 72 divisors (see below), whose sum is σ = 142778160. Its totient is φ = 11242880.

The previous prime is 46384133. The next prime is 46384141. The reversal of 46384140 is 4148364.

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

It is a junction number, because it is equal to n+sod(n) for n = 46384098 and 46384107.

It is not an unprimeable number, because it can be changed into a prime (46384141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4066 + ... + 10454.

It is an arithmetic number, because the mean of its divisors is an integer number (1983030).

Almost surely, 246384140 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 46384140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71389080).

46384140 is an abundant number, since it is smaller than the sum of its proper divisors (96394020).

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

46384140 is a wasteful number, since it uses less digits than its factorization.

46384140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6423 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 46384140 is about 6810.5902827875. The cubic root of 46384140 is about 359.2994090793.

It can be divided in two parts, 4638 and 4140, that added together give a palindrome (8778).

The spelling of 46384140 in words is "forty-six million, three hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 6389 7260 12778 19167 25556 31945 38334 63890 70279 76668 95835 127780 140558 191670 210837 281116 351395 383340 421674 702790 773069 843348 1054185 1405580 1546138 2108370 2319207 3092276 3865345 4216740 4638414 7730690 9276828 11596035 15461380 23192070 46384140