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2416104434 = 229149279577
BaseRepresentation
bin1001000000000010…
…1101001111110010
320020101022211012102
42100000231033302
514422010320214
61035425300402
7113605356152
oct22000551762
96211284172
102416104434
11102a912027
12575194702
132c6736bc3
1418cc52762
15e21a7bde
hex9002d3f2

2416104434 has 16 divisors (see below), whose sum is σ = 3774303000. Its totient is φ = 1158562944.

The previous prime is 2416104407. The next prime is 2416104461. The reversal of 2416104434 is 4344016142.

It is an interprime number because it is at equal distance from previous prime (2416104407) and next prime (2416104461).

It can be written as a sum of positive squares in 4 ways, for example, as 1281425209 + 1134679225 = 35797^2 + 33685^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 2416104397 and 2416104406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131147 + ... + 148430.

Almost surely, 22416104434 is an apocalyptic number.

2416104434 is a deficient number, since it is larger than the sum of its proper divisors (1358198566).

2416104434 is a wasteful number, since it uses less digits than its factorization.

2416104434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279757.

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2416104434 is about 49153.8852380969. The cubic root of 2416104434 is about 1341.8539041817.

The spelling of 2416104434 in words is "two billion, four hundred sixteen million, one hundred four thousand, four hundred thirty-four".

Divisors: 1 2 29 58 149 298 4321 8642 279577 559154 8107733 16215466 41656973 83313946 1208052217 2416104434