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3444343000 = 235374311443
BaseRepresentation
bin1100110101001100…
…1000000011011000
322220001010202100021
43031103020003120
524023222434000
61325440120224
7151232301220
oct31523100330
98801122307
103444343000
11150827296a
12801606074
1342b7803a7
14249631080
151525b611a
hexcd4c80d8

3444343000 has 128 divisors (see below), whose sum is σ = 9426193920. Its totient is φ = 1153353600.

The previous prime is 3444342973. The next prime is 3444343093. The reversal of 3444343000 is 3434443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 295279 + ... + 306721.

It is an arithmetic number, because the mean of its divisors is an integer number (73642140).

Almost surely, 23444343000 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 3444343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713096960).

3444343000 is an abundant number, since it is smaller than the sum of its proper divisors (5981850920).

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

3444343000 is a wasteful number, since it uses less digits than its factorization.

3444343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11514 (or 11500 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 3444343000 is about 58688.5252839088. The cubic root of 3444343000 is about 1510.2034724274.

Adding to 3444343000 its reverse (3434443), we get a palindrome (3447777443).

The spelling of 3444343000 in words is "three billion, four hundred forty-four million, three hundred forty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 125 140 172 175 200 215 250 280 301 344 350 430 500 602 700 860 875 1000 1075 1204 1400 1505 1720 1750 2150 2408 3010 3500 4300 5375 6020 7000 7525 8600 10750 11443 12040 15050 21500 22886 30100 37625 43000 45772 57215 60200 75250 80101 91544 114430 150500 160202 228860 286075 301000 320404 400505 457720 492049 572150 640808 801010 984098 1144300 1430375 1602020 1968196 2002525 2288600 2460245 2860750 3204040 3444343 3936392 4005050 4920490 5721500 6888686 8010100 9840980 10012625 11443000 12301225 13777372 16020200 17221715 19681960 20025250 24602450 27554744 34443430 40050500 49204900 61506125 68886860 80101000 86108575 98409800 123012250 137773720 172217150 246024500 344434300 430542875 492049000 688868600 861085750 1722171500 3444343000