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2432194040 = 235294434733
BaseRepresentation
bin1001000011111000…
…0101010111111000
320021111121020222202
42100332011113320
514440120202130
61041202205332
7114162210503
oct22076052770
96244536882
102432194040
111038a01421
1257a653848
132c9b7b493
1419104013a
15e37d5145
hex90f855f8

2432194040 has 64 divisors (see below), whose sum is σ = 5675119200. Its totient is φ = 937011712.

The previous prime is 2432194019. The next prime is 2432194067. The reversal of 2432194040 is 404912342.

2432194040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 2432193994 and 2432194012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511514 + ... + 516246.

Almost surely, 22432194040 is an apocalyptic number.

2432194040 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 2432194040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837559600).

2432194040 is an abundant number, since it is smaller than the sum of its proper divisors (3242925160).

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

2432194040 is a wasteful number, since it uses less digits than its factorization.

2432194040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2432194040 is about 49317.2793247965. The cubic root of 2432194040 is about 1344.8259269937.

The spelling of 2432194040 in words is "two billion, four hundred thirty-two million, one hundred ninety-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 443 580 886 1160 1772 2215 3544 4430 4733 8860 9466 12847 17720 18932 23665 25694 37864 47330 51388 64235 94660 102776 128470 137257 189320 256940 274514 513880 549028 686285 1098056 1372570 2096719 2745140 4193438 5490280 8386876 10483595 16773752 20967190 41934380 60804851 83868760 121609702 243219404 304024255 486438808 608048510 1216097020 2432194040