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1312034240 = 265112912853
BaseRepresentation
bin100111000110100…
…0000110111000000
310101102211020121202
41032031000313000
510141340043430
6334105240332
744341051466
oct11615006700
93342736552
101312034240
11613677820
123074930a8
1317ba8c72a
14c6374836
157a2bad45
hex4e340dc0

1312034240 has 112 divisors (see below), whose sum is σ = 3526109280. Its totient is φ = 460615680.

The previous prime is 1312034233. The next prime is 1312034293. The reversal of 1312034240 is 424302131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 95654 + ... + 108506.

Almost surely, 21312034240 is an apocalyptic number.

1312034240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763054640).

1312034240 is an abundant number, since it is smaller than the sum of its proper divisors (2214075040).

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

1312034240 is a wasteful number, since it uses less digits than its factorization.

1312034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12910 (or 12900 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1312034240 is about 36222.0131963976. The cubic root of 1312034240 is about 1094.7502582312.

Adding to 1312034240 its reverse (424302131), we get a palindrome (1736336371).

The spelling of 1312034240 in words is "one billion, three hundred twelve million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 145 160 176 220 232 290 319 320 352 440 464 580 638 704 880 928 1160 1276 1595 1760 1856 2320 2552 3190 3520 4640 5104 6380 9280 10208 12760 12853 20416 25520 25706 51040 51412 64265 102080 102824 128530 141383 205648 257060 282766 372737 411296 514120 565532 706915 745474 822592 1028240 1131064 1413830 1490948 1863685 2056480 2262128 2827660 2981896 3727370 4100107 4112960 4524256 5655320 5963792 7454740 8200214 9048512 11310640 11927584 14909480 16400428 20500535 22621280 23855168 29818960 32800856 41001070 45242560 59637920 65601712 82002140 119275840 131203424 164004280 262406848 328008560 656017120 1312034240