Search a number
-
+
3344451040 = 25577434019
BaseRepresentation
bin1100011101011000…
…0100010111100000
322122002011201100001
43013112010113200
523322134413130
61311511105344
7145610236060
oct30726042740
98562151301
103344451040
111466945627
12794072254
13413b76b18
1423a26b3a0
151489336ca
hexc75845e0

3344451040 has 96 divisors (see below), whose sum is σ = 9044421120. Its totient is φ = 1144840704.

The previous prime is 3344451007. The next prime is 3344451043. The reversal of 3344451040 is 401544433.

It is a super-2 number, since 2×33444510402 = 22370705517914163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344451043) 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, 830151 + ... + 834169.

It is an arithmetic number, because the mean of its divisors is an integer number (94212720).

Almost surely, 23344451040 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 3344451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522210560).

3344451040 is an abundant number, since it is smaller than the sum of its proper divisors (5699970080).

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

3344451040 is a wasteful number, since it uses less digits than its factorization.

3344451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3344451040 is about 57831.2289338555. The cubic root of 3344451040 is about 1495.4605039907.

Adding to 3344451040 its reverse (401544433), we get a palindrome (3745995473).

The spelling of 3344451040 in words is "three billion, three hundred forty-four million, four hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 743 1120 1486 2972 3715 4019 5201 5944 7430 8038 10402 11888 14860 16076 20095 20804 23776 26005 28133 29720 32152 40190 41608 52010 56266 59440 64304 80380 83216 104020 112532 118880 128608 140665 160760 166432 208040 225064 281330 321520 416080 450128 562660 643040 832160 900256 1125320 2250640 2986117 4501280 5972234 11944468 14930585 20902819 23888936 29861170 41805638 47777872 59722340 83611276 95555744 104514095 119444680 167222552 209028190 238889360 334445104 418056380 477778720 668890208 836112760 1672225520 3344451040