Search a number
-
+
3344402000 = 24538320147
BaseRepresentation
bin1100011101010111…
…1000011001010000
322122002002020001202
43013111320121100
523322131331000
61311510050332
7145606643102
oct30725703120
98562066052
103344402000
1114669117a5
127940499a8
13413b5a6c4
1423a257572
15148923dd5
hexc7578650

3344402000 has 80 divisors (see below), whose sum is σ = 8184601152. Its totient is φ = 1321577600.

The previous prime is 3344401981. The next prime is 3344402011. The reversal of 3344402000 is 2044433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33444020002 = 22370049475208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 155927 + ... + 176073.

Almost surely, 23344402000 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 3344402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092300576).

3344402000 is an abundant number, since it is smaller than the sum of its proper divisors (4840199152).

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

3344402000 is a wasteful number, since it uses less digits than its factorization.

3344402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20253 (or 20237 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3344402000 is about 57830.8049399280. The cubic root of 3344402000 is about 1495.4531945957.

Adding to 3344402000 its reverse (2044433), we get a palindrome (3346446433).

The spelling of 3344402000 in words is "three billion, three hundred forty-four million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 664 830 1000 1328 1660 2000 2075 3320 4150 6640 8300 10375 16600 20147 20750 33200 40294 41500 80588 83000 100735 161176 166000 201470 322352 402940 503675 805880 1007350 1611760 1672201 2014700 2518375 3344402 4029400 5036750 6688804 8058800 8361005 10073500 13377608 16722010 20147000 26755216 33444020 40294000 41805025 66888040 83610050 133776080 167220100 209025125 334440200 418050250 668880400 836100500 1672201000 3344402000