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24340304040 = 23351367232877
BaseRepresentation
bin10110101010110010…
…111001000010101000
32022211022120120002020
4112222302321002220
5344322104212130
615103133104440
71521114112353
oct265262710250
968738516066
1024340304040
11a360515758
124873628120
1323ab969190
14126c90129a
15976d11e10
hex5aacb90a8

24340304040 has 128 divisors (see below), whose sum is σ = 79811948160. Its totient is φ = 5902009344.

The previous prime is 24340304017. The next prime is 24340304057. The reversal of 24340304040 is 4040304342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 24340304040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11919 + ... + 220958.

It is an arithmetic number, because the mean of its divisors is an integer number (623530845).

Almost surely, 224340304040 is an apocalyptic number.

24340304040 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 24340304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39905974080).

24340304040 is an abundant number, since it is smaller than the sum of its proper divisors (55471644120).

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

24340304040 is a wasteful number, since it uses less digits than its factorization.

24340304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232971 (or 232967 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 24340304040 its reverse (4040304342), we get a palindrome (28380608382).

The spelling of 24340304040 in words is "twenty-four billion, three hundred forty million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 67 78 104 120 130 134 156 195 201 260 268 312 335 390 402 520 536 670 780 804 871 1005 1340 1560 1608 1742 2010 2613 2680 3484 4020 4355 5226 6968 8040 8710 10452 13065 17420 20904 26130 34840 52260 104520 232877 465754 698631 931508 1164385 1397262 1863016 2328770 2794524 3027401 3493155 4657540 5589048 6054802 6986310 9082203 9315080 12109604 13972620 15137005 15602759 18164406 24219208 27945240 30274010 31205518 36328812 45411015 46808277 60548020 62411036 72657624 78013795 90822030 93616554 121096040 124822072 156027590 181644060 187233108 202835867 234041385 312055180 363288120 374466216 405671734 468082770 608507601 624110360 811343468 936165540 1014179335 1217015202 1622686936 1872331080 2028358670 2434030404 3042538005 4056717340 4868060808 6085076010 8113434680 12170152020 24340304040