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2434432040 = 235535919463
BaseRepresentation
bin1001000100011010…
…0111110000101000
320021122210221221122
42101012213300220
514441203311130
61041322154412
7114220221335
oct22106476050
96248727848
102434432040
11103a19a907
1257b352a08
132ca483041
1419146398c
15e3ac82e5
hex911a7c28

2434432040 has 64 divisors (see below), whose sum is σ = 5675702400. Its totient is φ = 939158272.

The previous prime is 2434432027. The next prime is 2434432043. The reversal of 2434432040 is 402344342.

It is not an unprimeable number, because it can be changed into a prime (2434432043) 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 15 ways as a sum of consecutive naturals, for example, 115349 + ... + 134811.

It is an arithmetic number, because the mean of its divisors is an integer number (88682850).

Almost surely, 22434432040 is an apocalyptic number.

2434432040 is a gapful number since it is divisible by the number (20) 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 2434432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837851200).

2434432040 is an abundant number, since it is smaller than the sum of its proper divisors (3241270360).

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

2434432040 is a wasteful number, since it uses less digits than its factorization.

2434432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19586 (or 19582 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2434432040 is about 49339.9639237809. The cubic root of 2434432040 is about 1345.2382841368.

Adding to 2434432040 its reverse (402344342), we get a palindrome (2836776382).

The spelling of 2434432040 in words is "two billion, four hundred thirty-four million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 59 106 118 212 236 265 295 424 472 530 590 1060 1180 2120 2360 3127 6254 12508 15635 19463 25016 31270 38926 62540 77852 97315 125080 155704 194630 389260 778520 1031539 1148317 2063078 2296634 4126156 4593268 5157695 5741585 8252312 9186536 10315390 11483170 20630780 22966340 41261560 45932680 60860801 121721602 243443204 304304005 486886408 608608010 1217216020 2434432040