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3120213304 = 23132373107167
BaseRepresentation
bin1011100111111010…
…1010110100111000
322001110020020222201
42321332222310320
522342233311204
61233340555544
7140215242535
oct27176526470
98043206881
103120213304
11136130848a
12730b52bb4
133a9584580
14218579d8c
15133ddc9a4
hexb9faad38

3120213304 has 128 divisors (see below), whose sum is σ = 6766986240. Its totient is φ = 1337859072.

The previous prime is 3120213287. The next prime is 3120213311. The reversal of 3120213304 is 4033120213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18683829 + ... + 18683995.

It is an arithmetic number, because the mean of its divisors is an integer number (52867080).

Almost surely, 23120213304 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 3120213304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383493120).

3120213304 is an abundant number, since it is smaller than the sum of its proper divisors (3646772936).

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

3120213304 is a wasteful number, since it uses less digits than its factorization.

3120213304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3120213304 is about 55858.8695195311. The cubic root of 3120213304 is about 1461.2620138325.

Adding to 3120213304 its reverse (4033120213), we get a palindrome (7153333517).

The spelling of 3120213304 in words is "three billion, one hundred twenty million, two hundred thirteen thousand, three hundred four".

Divisors: 1 2 4 8 13 23 26 46 52 73 92 104 107 146 167 184 214 292 299 334 428 584 598 668 856 949 1196 1336 1391 1679 1898 2171 2392 2461 2782 3358 3796 3841 4342 4922 5564 6716 7592 7682 7811 8684 9844 11128 12191 13432 15364 15622 17368 17869 19688 21827 24382 30728 31244 31993 35738 43654 48764 49933 62488 63986 71476 87308 97528 99866 101543 127972 142952 158483 174616 179653 199732 203086 232297 255944 280393 316966 359306 399464 406172 410987 464594 560786 633932 718612 812344 821974 929188 1121572 1267864 1304437 1437224 1643948 1858376 2243144 2335489 2608874 3287896 3645109 4670978 5217748 5342831 7290218 9341956 10435496 10685662 14580436 16957681 18683912 21371324 29160872 30002051 33915362 42742648 60004102 67830724 120008204 135661448 240016408 390026663 780053326 1560106652 3120213304