Search a number
-
+
3404101000 = 235311632927
BaseRepresentation
bin1100101011100110…
…0111010110001000
322210020102020200211
43022321213112020
523432422213000
61321441410504
7150233244466
oct31271472610
98706366624
103404101000
111497587513
127b0039a34
13423330661
14244157836
1514dcb77ba
hexcae67588

3404101000 has 64 divisors (see below), whose sum is σ = 7975169280. Its totient is φ = 1360004800.

The previous prime is 3404100941. The next prime is 3404101003. The reversal of 3404101000 is 1014043.

3404101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3404101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1161537 + ... + 1164463.

It is an arithmetic number, because the mean of its divisors is an integer number (124612020).

Almost surely, 23404101000 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 3404101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987584640).

3404101000 is an abundant number, since it is smaller than the sum of its proper divisors (4571068280).

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

3404101000 is a wasteful number, since it uses less digits than its factorization.

3404101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3404101000 is about 58344.6741356913. The cubic root of 3404101000 is about 1504.2989269738.

Adding to 3404101000 its reverse (1014043), we get a palindrome (3405115043).

The spelling of 3404101000 in words is "three billion, four hundred four million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1163 2326 2927 4652 5815 5854 9304 11630 11708 14635 23260 23416 29075 29270 46520 58150 58540 73175 116300 117080 145375 146350 232600 290750 292700 365875 581500 585400 731750 1163000 1463500 2927000 3404101 6808202 13616404 17020505 27232808 34041010 68082020 85102525 136164040 170205050 340410100 425512625 680820200 851025250 1702050500 3404101000