Search a number
-
+
40244634 = 2332931829
BaseRepresentation
bin1001100110000…
…1010110011010
32210201122021000
42121201112122
540300312014
63554325430
7666034203
oct231412632
983648230
1040244634
1120798431
1211589876
138450cc1
1454b85aa
1537ee509
hex266159a

40244634 has 64 divisors (see below), whose sum is σ = 95616000. Its totient is φ = 12519360.

The previous prime is 40244629. The next prime is 40244639. The reversal of 40244634 is 43644204.

40244634 is a `hidden beast` number, since 4 + 0 + 24 + 4 + 634 = 666.

It is an interprime number because it is at equal distance from previous prime (40244629) and next prime (40244639).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40244598 and 40244607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40244639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48132 + ... + 48960.

It is an arithmetic number, because the mean of its divisors is an integer number (1494000).

Almost surely, 240244634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40244634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47808000).

40244634 is an abundant number, since it is smaller than the sum of its proper divisors (55371366).

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

40244634 is a wasteful number, since it uses less digits than its factorization.

40244634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 40244634 is about 6343.8658560849. The cubic root of 40244634 is about 342.6909699202.

Adding to 40244634 its reverse (43644204), we get a palindrome (83888838).

The spelling of 40244634 in words is "forty million, two hundred forty-four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 87 93 174 186 261 279 522 558 783 829 837 899 1566 1658 1674 1798 2487 2697 4974 5394 7461 8091 14922 16182 22383 24041 24273 25699 44766 48082 48546 51398 72123 77097 144246 154194 216369 231291 432738 462582 649107 693873 745271 1298214 1387746 1490542 2235813 4471626 6707439 13414878 20122317 40244634