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2414034364 = 22737271887
BaseRepresentation
bin1000111111100011…
…0011110110111100
320020020102122121011
42033320303312330
514420443044424
61035313045004
7113551645030
oct21770636674
96206378534
102414034364
111029728825
12574556764
132c6190901
1418c8741c0
15e1de9694
hex8fe33dbc

2414034364 has 72 divisors (see below), whose sum is σ = 5037645312. Its totient is φ = 991327680.

The previous prime is 2414034361. The next prime is 2414034373. The reversal of 2414034364 is 4634304142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414034361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2721129 + ... + 2722015.

It is an arithmetic number, because the mean of its divisors is an integer number (69967296).

Almost surely, 22414034364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414034364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518822656).

2414034364 is an abundant number, since it is smaller than the sum of its proper divisors (2623610948).

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

2414034364 is a wasteful number, since it uses less digits than its factorization.

2414034364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 2414034364 is about 49132.8236925174. The cubic root of 2414034364 is about 1341.4705701459.

The spelling of 2414034364 in words is "two billion, four hundred fourteen million, thirty-four thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 37 71 74 142 148 259 284 497 518 887 994 1036 1369 1774 1988 2627 2738 3548 5254 5476 6209 9583 10508 12418 18389 19166 24836 32819 36778 38332 62977 65638 73556 97199 125954 131276 194398 229733 251908 388796 440839 459466 680393 881678 918932 1214303 1360786 1763356 2330149 2428606 2721572 4660298 4857212 8500121 9320596 16311043 17000242 32622086 34000484 65244172 86215513 172431026 344862052 603508591 1207017182 2414034364