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3004100334 = 2322319137991
BaseRepresentation
bin1011001100001110…
…1110111011101110
321202100202002221100
42303003232323232
522123022202314
61214032143530
7134305301004
oct26303567356
97670662840
103004100334
111301811054
126ba097ba6
1338b4bb981
14206d92a74
15128b03c09
hexb30eeeee

3004100334 has 48 divisors (see below), whose sum is σ = 6827618304. Its totient is φ = 952789200.

The previous prime is 3004100327. The next prime is 3004100371. The reversal of 3004100334 is 4330014003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60079 + ... + 98069.

It is an arithmetic number, because the mean of its divisors is an integer number (142242048).

Almost surely, 23004100334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004100334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413809152).

3004100334 is an abundant number, since it is smaller than the sum of its proper divisors (3823517970).

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

3004100334 is a wasteful number, since it uses less digits than its factorization.

3004100334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38213 (or 38210 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3004100334 is about 54809.6737264509. The cubic root of 3004100334 is about 1442.9063495022.

Adding to 3004100334 its reverse (4330014003), we get a palindrome (7334114337).

The spelling of 3004100334 in words is "three billion, four million, one hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 191 207 382 414 573 1146 1719 3438 4393 8786 13179 26358 37991 39537 75982 79074 113973 227946 341919 683838 873793 1747586 2621379 5242758 7256281 7864137 14512562 15728274 21768843 43537686 65306529 130613058 166894463 333788926 500683389 1001366778 1502050167 3004100334