Search a number
-
+
40340352 = 273138081
BaseRepresentation
bin1001100111100…
…0101110000000
32210220111120010
42121320232000
540311342402
64000344520
7666613233
oct231705600
983814503
1040340352
1120853338
1211615140
138485740
14550141a
15381ca6c
hex2678b80

40340352 has 64 divisors (see below), whose sum is σ = 115410960. Its totient is φ = 12410880.

The previous prime is 40340347. The next prime is 40340357. The reversal of 40340352 is 25304304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40340347) and next prime (40340357).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40340357) 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 7 ways as a sum of consecutive naturals, for example, 952 + ... + 9032.

Almost surely, 240340352 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 40340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57705480).

40340352 is an abundant number, since it is smaller than the sum of its proper divisors (75070608).

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

40340352 is a wasteful number, since it uses less digits than its factorization.

40340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8111 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 40340352 is about 6351.4055137426. The cubic root of 40340352 is about 342.9624406736.

Adding to 40340352 its reverse (25304304), we get a palindrome (65644656).

It can be divided in two parts, 403 and 40352, that added together give a triangular number (40755 = T285).

The spelling of 40340352 in words is "forty million, three hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 8081 16162 24243 32324 48486 64648 96972 105053 129296 193944 210106 258592 315159 387888 420212 517184 630318 775776 840424 1034368 1260636 1551552 1680848 2521272 3103104 3361696 5042544 6723392 10085088 13446784 20170176 40340352