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1311030344 = 231321757041
BaseRepresentation
bin100111000100100…
…1011110001001000
310101100221020112102
41032021023301020
510141110432334
6334031532532
744326400621
oct11611136110
93340836472
101311030344
11613051558
1230708a148
1317b7ca800
14c6192a48
157a16d67e
hex4e24bc48

1311030344 has 48 divisors (see below), whose sum is σ = 2818445220. Its totient is φ = 569487360.

The previous prime is 1311030341. The next prime is 1311030349. The reversal of 1311030344 is 4430301131.

It can be written as a sum of positive squares in 6 ways, for example, as 284596900 + 1026433444 = 16870^2 + 32038^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311030341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5537 + ... + 51504.

Almost surely, 21311030344 is an apocalyptic number.

It is an amenable number.

1311030344 is an abundant number, since it is smaller than the sum of its proper divisors (1507414876).

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

1311030344 is a wasteful number, since it uses less digits than its factorization.

1311030344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57090 (or 57073 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1311030344 is about 36208.1530045375. The cubic root of 1311030344 is about 1094.4709728811.

Adding to 1311030344 its reverse (4430301131), we get a palindrome (5741331475).

The spelling of 1311030344 in words is "one billion, three hundred eleven million, thirty thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 884 1352 1768 2873 5746 11492 22984 57041 114082 228164 456328 741533 969697 1483066 1939394 2966132 3878788 5932264 7757576 9639929 12606061 19279858 25212122 38559716 50424244 77119432 100848488 163878793 327757586 655515172 1311030344