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40301352 = 23327136151
BaseRepresentation
bin1001100110111…
…1001100101000
32210211112001200
42121233030220
540304120402
63555444200
7666361440
oct231571450
983745050
1040301352
1120827003
12115b6660
138470a70
1454d1120
15381121c
hex266f328

40301352 has 96 divisors (see below), whose sum is σ = 134359680. Its totient is φ = 10627200.

The previous prime is 40301351. The next prime is 40301357. The reversal of 40301352 is 25310304.

40301352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40301351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3477 + ... + 9627.

It is an arithmetic number, because the mean of its divisors is an integer number (1399580).

Almost surely, 240301352 is an apocalyptic number.

40301352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40301352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67179840).

40301352 is an abundant number, since it is smaller than the sum of its proper divisors (94058328).

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

40301352 is a wasteful number, since it uses less digits than its factorization.

40301352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 40301352 is about 6348.3345847553. The cubic root of 40301352 is about 342.8518826574.

Adding to 40301352 its reverse (25310304), we get a palindrome (65611656).

The spelling of 40301352 in words is "forty million, three hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6151 6552 12302 18453 24604 36906 43057 49208 55359 73812 79963 86114 110718 129171 147624 159926 172228 221436 239889 258342 319852 344456 387513 442872 479778 516684 559741 639704 719667 775026 959556 1033368 1119482 1439334 1550052 1679223 1919112 2238964 2878668 3100104 3358446 4477928 5037669 5757336 6716892 10075338 13433784 20150676 40301352