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3011342664 = 233111672409
BaseRepresentation
bin1011001101111101…
…0111000101001000
321202212101001112210
42303133113011020
522131400431124
61214451305120
7134423663451
oct26337270510
97685331483
103011342664
111305908350
127005ab1a0
1338cb56285
14207d1a128
15129584a29
hexb37d7148

3011342664 has 96 divisors (see below), whose sum is σ = 8282426400. Its totient is φ = 904846080.

The previous prime is 3011342657. The next prime is 3011342669. The reversal of 3011342664 is 4662431103.

It is not an unprimeable number, because it can be changed into a prime (3011342669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7362492 + ... + 7362900.

It is an arithmetic number, because the mean of its divisors is an integer number (86275275).

Almost surely, 23011342664 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 3011342664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141213200).

3011342664 is an abundant number, since it is smaller than the sum of its proper divisors (5271083736).

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

3011342664 is a wasteful number, since it uses less digits than its factorization.

3011342664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3011342664 is about 54875.7019453966. The cubic root of 3011342664 is about 1444.0649456802.

Adding to 3011342664 its reverse (4662431103), we get a palindrome (7673773767).

The spelling of 3011342664 in words is "three billion, eleven million, three hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 167 264 334 409 501 668 818 1002 1227 1336 1636 1837 2004 2454 3272 3674 4008 4499 4908 5511 7348 8998 9816 11022 13497 14696 17996 22044 26994 27889 35992 44088 53988 55778 68303 83667 107976 111556 136606 167334 204909 223112 273212 306779 334668 409818 546424 613558 669336 751333 819636 920337 1227116 1502666 1639272 1840674 2253999 2454232 3005332 3681348 4507998 6010664 7362696 9015996 11406601 18031992 22813202 34219803 45626404 68439606 91252808 125472611 136879212 250945222 273758424 376417833 501890444 752835666 1003780888 1505671332 3011342664