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40314132 = 2233537043
BaseRepresentation
bin1001100111001…
…0010100010100
32210212011121000
42121302110110
540310023012
64000023300
7666443625
oct231622424
983764530
1040314132
1120835671
1211601b30
138476821
1454d5a4c
153814ddc
hex2672514

40314132 has 48 divisors (see below), whose sum is σ = 106505280. Its totient is φ = 13182624.

The previous prime is 40314121. The next prime is 40314133. The reversal of 40314132 is 23141304.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40314133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2203 + ... + 9245.

It is an arithmetic number, because the mean of its divisors is an integer number (2218860).

Almost surely, 240314132 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 40314132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53252640).

40314132 is an abundant number, since it is smaller than the sum of its proper divisors (66191148).

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

40314132 is a wasteful number, since it uses less digits than its factorization.

40314132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7109 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40314132 is about 6349.3410681739. The cubic root of 40314132 is about 342.8881195226. Note that the first 3 decimals are identical.

Adding to 40314132 its reverse (23141304), we get a palindrome (63455436).

It can be divided in two parts, 403 and 14132, that added together give a triangular number (14535 = T170).

The spelling of 40314132 in words is "forty million, three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 7043 14086 21129 28172 42258 63387 84516 126774 190161 253548 373279 380322 746558 760644 1119837 1493116 2239674 3359511 4479348 6719022 10078533 13438044 20157066 40314132