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4340004004 = 2275310132887
BaseRepresentation
bin1000000101010111…
…10011010010100100
3102012110111001021001
410002223303102210
532342020112004
61554353203044
7212356265620
oct40253632244
912173431231
104340004004
111927901276
12a11560484
135421b7b0b
142d257c180
151a60371a4
hex102af34a4

4340004004 has 48 divisors (see below), whose sum is σ = 8855578368. Its totient is φ = 1822474368.

The previous prime is 4340003989. The next prime is 4340004023. The reversal of 4340004004 is 4004000434.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501849 + ... + 1504735.

It is an arithmetic number, because the mean of its divisors is an integer number (184491216).

Almost surely, 24340004004 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 4340004004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427789184).

4340004004 is an abundant number, since it is smaller than the sum of its proper divisors (4515574364).

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

4340004004 is a wasteful number, since it uses less digits than its factorization.

4340004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4340004004 is about 65878.7067571913. The cubic root of 4340004004 is about 1631.1605525466.

Adding to 4340004004 its reverse (4004000434), we get a palindrome (8344004438).

The spelling of 4340004004 in words is "four billion, three hundred forty million, four thousand, four".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 1013 1484 2026 2887 4052 5774 7091 11548 14182 20209 28364 40418 53689 80836 107378 153011 214756 306022 375823 612044 751646 1071077 1503292 2142154 2924531 4284308 5849062 11698124 20471717 40943434 81886868 155000143 310000286 620000572 1085001001 2170002002 4340004004