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2414433340 = 2251140926833
BaseRepresentation
bin1000111111101001…
…0101010000111100
320020021011220220001
42033322111100330
514421043331330
61035325404044
7113555226154
oct21772252074
96207156801
102414433340
111029980560
12574709624
132c62a03a7
1418c939764
15e1e779ca
hex8fe9543c

2414433340 has 48 divisors (see below), whose sum is σ = 5544977760. Its totient is φ = 875796480.

The previous prime is 2414433331. The next prime is 2414433377. The reversal of 2414433340 is 433344142.

It is a junction number, because it is equal to n+sod(n) for n = 2414433299 and 2414433308.

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, 76564 + ... + 103396.

It is an arithmetic number, because the mean of its divisors is an integer number (115520370).

Almost surely, 22414433340 is an apocalyptic number.

2414433340 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 2414433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772488880).

2414433340 is an abundant number, since it is smaller than the sum of its proper divisors (3130544420).

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

2414433340 is a wasteful number, since it uses less digits than its factorization.

2414433340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27262 (or 27260 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 2414433340 is about 49136.8837025711. The cubic root of 2414433340 is about 1341.5444692706.

Adding to 2414433340 its reverse (433344142), we get a palindrome (2847777482).

The spelling of 2414433340 in words is "two billion, four hundred fourteen million, four hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 409 818 1636 2045 4090 4499 8180 8998 17996 22495 26833 44990 53666 89980 107332 134165 268330 295163 536660 590326 1180652 1475815 2951630 5903260 10974697 21949394 43898788 54873485 109746970 120721667 219493940 241443334 482886668 603608335 1207216670 2414433340