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3344512240 = 2451916313499
BaseRepresentation
bin1100011101011001…
…0011010011110000
322122002021211021201
43013112103103300
523322143342430
61311512300544
7145610612356
oct30726232360
98562254251
103344512240
111466987603
127940a1754
13413b98934
1423a2857d6
151489468ca
hexc75934f0

3344512240 has 80 divisors (see below), whose sum is σ = 8236080000. Its totient is φ = 1259525376.

The previous prime is 3344512217. The next prime is 3344512309. The reversal of 3344512240 is 422154433.

It is a happy number.

3344512240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×33445122402 = 22371524247019635200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3344512199 and 3344512208.

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, 241011 + ... + 254509.

It is an arithmetic number, because the mean of its divisors is an integer number (102951000).

Almost surely, 23344512240 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 3344512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118040000).

3344512240 is an abundant number, since it is smaller than the sum of its proper divisors (4891567760).

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

3344512240 is a wasteful number, since it uses less digits than its factorization.

3344512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13694 (or 13688 counting only the distinct ones).

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

The square root of 3344512240 is about 57831.7580573166. The cubic root of 3344512240 is about 1495.4696257293.

Adding to 3344512240 its reverse (422154433), we get a palindrome (3766666673).

The spelling of 3344512240 in words is "three billion, three hundred forty-four million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 163 190 304 326 380 652 760 815 1304 1520 1630 2608 3097 3260 6194 6520 12388 13040 13499 15485 24776 26998 30970 49552 53996 61940 67495 107992 123880 134990 215984 247760 256481 269980 512962 539960 1025924 1079920 1282405 2051848 2200337 2564810 4103696 4400674 5129620 8801348 10259240 11001685 17602696 20518480 22003370 35205392 41806403 44006740 83612806 88013480 167225612 176026960 209032015 334451224 418064030 668902448 836128060 1672256120 3344512240