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1311324304 = 24315383601
BaseRepresentation
bin100111000101001…
…0011100010010000
310101101111011202211
41032022103202100
510141144334204
6334042121504
744332033633
oct11612234220
93341434684
101311324304
116132323a4
123071b0294
1317b8a1554
14c622bc1a
157a1ca804
hex4e293890

1311324304 has 80 divisors (see below), whose sum is σ = 2708826624. Its totient is φ = 614016000.

The previous prime is 1311324283. The next prime is 1311324307. The reversal of 1311324304 is 4034231131.

It is a super-2 number, since 2×13113243042 = 3439142860522168832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311324307) 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, 2181604 + ... + 2182204.

Almost surely, 21311324304 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 1311324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354413312).

1311324304 is an abundant number, since it is smaller than the sum of its proper divisors (1397502320).

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

1311324304 is a wasteful number, since it uses less digits than its factorization.

1311324304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1311324304 is about 36212.2120837709. The cubic root of 1311324304 is about 1094.5527677445.

Adding to 1311324304 its reverse (4034231131), we get a palindrome (5345555435).

The spelling of 1311324304 in words is "one billion, three hundred eleven million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 31 53 62 83 106 124 166 212 248 332 424 496 601 664 848 1202 1328 1643 2404 2573 3286 4399 4808 5146 6572 8798 9616 10292 13144 17596 18631 20584 26288 31853 35192 37262 41168 49883 63706 70384 74524 99766 127412 136369 149048 199532 254824 272738 298096 399064 509648 545476 798128 987443 1090952 1546373 1974886 2181904 2643799 3092746 3949772 5287598 6185492 7899544 10575196 12370984 15799088 21150392 24741968 42300784 81957769 163915538 327831076 655662152 1311324304