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3291013080 = 233258321327
BaseRepresentation
bin1100010000101000…
…1101111111011000
322111100121210020100
43010022031333120
523214444404310
61302321455400
7144361102215
oct30412157730
98440553210
103291013080
111439766923
1277a1a1560
13405a86924
1423311ab0c
15143dc9ec0
hexc428dfd8

3291013080 has 144 divisors (see below), whose sum is σ = 10834368480. Its totient is φ = 866376576.

The previous prime is 3291013073. The next prime is 3291013109. The reversal of 3291013080 is 803101923.

3291013080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2479377 + ... + 2480703.

It is an arithmetic number, because the mean of its divisors is an integer number (75238670).

Almost surely, 23291013080 is an apocalyptic number.

3291013080 is a gapful number since it is divisible by the number (30) 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 3291013080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417184240).

3291013080 is an abundant number, since it is smaller than the sum of its proper divisors (7543355400).

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

3291013080 is a wasteful number, since it uses less digits than its factorization.

3291013080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3291013080 is about 57367.3520392915. The cubic root of 3291013080 is about 1487.4528316846.

The spelling of 3291013080 in words is "three billion, two hundred ninety-one million, thirteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1327 1494 1660 1992 2490 2654 2988 3320 3735 3981 4980 5308 5976 6635 6889 7470 7962 9960 10616 11943 13270 13778 14940 15924 19905 20667 23886 26540 27556 29880 31848 34445 39810 41334 47772 53080 55112 59715 62001 68890 79620 82668 95544 103335 110141 119430 124002 137780 159240 165336 206670 220282 238860 248004 275560 310005 330423 413340 440564 477720 496008 550705 620010 660846 826680 881128 991269 1101410 1240020 1321692 1652115 1982538 2202820 2480040 2643384 3304230 3965076 4405640 4956345 6608460 7930152 9141703 9912690 13216920 18283406 19825380 27425109 36566812 39650760 45708515 54850218 73133624 82275327 91417030 109700436 137125545 164550654 182834060 219400872 274251090 329101308 365668120 411376635 548502180 658202616 822753270 1097004360 1645506540 3291013080