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2432331040 = 25537940111
BaseRepresentation
bin1001000011111010…
…0110110100100000
320021111212012220211
42100332212310200
514440134043130
61041205143504
7114163321066
oct22076466440
96244765824
102432331040
111038a95347
1257a6bab94
132c9bc8949
14191078036
15e3810a2a
hex90fa6d20

2432331040 has 48 divisors (see below), whose sum is σ = 5761687680. Its totient is φ = 970341120.

The previous prime is 2432331023. The next prime is 2432331053. The reversal of 2432331040 is 401332342.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40585 + ... + 80695.

It is an arithmetic number, because the mean of its divisors is an integer number (120035160).

Almost surely, 22432331040 is an apocalyptic number.

2432331040 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 2432331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880843840).

2432331040 is an abundant number, since it is smaller than the sum of its proper divisors (3329356640).

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

2432331040 is a wasteful number, since it uses less digits than its factorization.

2432331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40505 (or 40497 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2432331040 is about 49318.6682707471. The cubic root of 2432331040 is about 1344.8511768558.

Adding to 2432331040 its reverse (401332342), we get a palindrome (2833663382).

The spelling of 2432331040 in words is "two billion, four hundred thirty-two million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 379 758 1516 1895 3032 3790 6064 7580 12128 15160 30320 40111 60640 80222 160444 200555 320888 401110 641776 802220 1283552 1604440 3208880 6417760 15202069 30404138 60808276 76010345 121616552 152020690 243233104 304041380 486466208 608082760 1216165520 2432331040