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3244313040 = 243514279473
BaseRepresentation
bin1100000101100000…
…0100100111010000
322101002202011211020
43001120010213100
523121021004130
61253532515440
7143253130413
oct30130044720
98332664736
103244313040
11141536a451
1276661bb80
133c91b5577
1422ac41b7a
1513ec52e10
hexc16049d0

3244313040 has 80 divisors (see below), whose sum is σ = 10065480768. Its totient is φ = 864452608.

The previous prime is 3244312993. The next prime is 3244313041. The reversal of 3244313040 is 403134423.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3244313040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3244313041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337744 + ... + 347216.

Almost surely, 23244313040 is an apocalyptic number.

3244313040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3244313040 is an abundant number, since it is smaller than the sum of its proper divisors (6821167728).

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

3244313040 is a wasteful number, since it uses less digits than its factorization.

3244313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10916 (or 10910 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3244313040 is about 56958.8714775846. The cubic root of 3244313040 is about 1480.3835504582.

Adding to 3244313040 its reverse (403134423), we get a palindrome (3647447463).

The spelling of 3244313040 in words is "three billion, two hundred forty-four million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1427 2854 4281 5708 7135 8562 9473 11416 14270 17124 18946 21405 22832 28419 28540 34248 37892 42810 47365 56838 57080 68496 75784 85620 94730 113676 114160 142095 151568 171240 189460 227352 284190 342480 378920 454704 568380 757840 1136760 2273520 13517971 27035942 40553913 54071884 67589855 81107826 108143768 135179710 162215652 202769565 216287536 270359420 324431304 405539130 540718840 648862608 811078260 1081437680 1622156520 3244313040