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40014324 = 223575881
BaseRepresentation
bin1001100010100…
…1000111110100
32210021221100000
42120221013310
540220424244
63545351300
7664054560
oct230510764
983257300
1040014324
1120650399
1211498530
1383a021c
1454586a0
1537a6169
hex26291f4

40014324 has 72 divisors (see below), whose sum is σ = 119898688. Its totient is φ = 11430720.

The previous prime is 40014313. The next prime is 40014329. The reversal of 40014324 is 42341004.

It is a super-2 number, since 2×400143242 = 3202292250353952, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40014297 and 40014306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40014329) 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, 3864 + ... + 9744.

Almost surely, 240014324 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 40014324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59949344).

40014324 is an abundant number, since it is smaller than the sum of its proper divisors (79884364).

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

40014324 is a wasteful number, since it uses less digits than its factorization.

40014324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40014324 is about 6325.6876306059. The cubic root of 40014324 is about 342.0360072892.

Adding to 40014324 its reverse (42341004), we get a palindrome (82355328).

The spelling of 40014324 in words is "forty million, fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 5881 6804 11762 17643 23524 35286 41167 52929 70572 82334 105858 123501 158787 164668 211716 247002 317574 370503 476361 494004 635148 741006 952722 1111509 1429083 1482012 1905444 2223018 2858166 3334527 4446036 5716332 6669054 10003581 13338108 20007162 40014324