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2424100340 = 2251792932311
BaseRepresentation
bin1001000001111100…
…1101010111110100
320020221101001112002
42100133031113310
514431032202330
61040312514432
7114033340634
oct22037152764
96227331462
102424100340
111034383512
125779aba18
132c82a64cc
1418dd346c4
15e2c36e45
hex907cd5f4

2424100340 has 48 divisors (see below), whose sum is σ = 5138743680. Its totient is φ = 960516480.

The previous prime is 2424100333. The next prime is 2424100403. The reversal of 2424100340 is 430014242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047785 + ... + 1050095.

It is an arithmetic number, because the mean of its divisors is an integer number (107057160).

Almost surely, 22424100340 is an apocalyptic number.

2424100340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424100340 is an abundant number, since it is smaller than the sum of its proper divisors (2714643340).

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

2424100340 is a wasteful number, since it uses less digits than its factorization.

2424100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2424100340 is about 49235.1534982882. The cubic root of 2424100340 is about 1343.3325272746.

Adding to 2424100340 its reverse (430014242), we get a palindrome (2854114582).

The spelling of 2424100340 in words is "two billion, four hundred twenty-four million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 179 293 358 586 716 895 1172 1465 1790 2311 2930 3580 4622 5860 9244 11555 23110 46220 52447 104894 209788 262235 413669 524470 677123 827338 1048940 1354246 1654676 2068345 2708492 3385615 4136690 6771230 8273380 13542460 121205017 242410034 484820068 606025085 1212050170 2424100340