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3384748120 = 23513107127479
BaseRepresentation
bin1100100110111111…
…0010100001011000
322201220000000112111
43021233302201120
523412443414440
61315510522104
7146606612215
oct31157624130
98656000474
103384748120
1114876693a6
127a5666334
1341c315950
1424175ab0c
1514c2434ea
hexc9bf2858

3384748120 has 128 divisors (see below), whose sum is σ = 8360755200. Its totient is φ = 1225760256.

The previous prime is 3384748109. The next prime is 3384748121. The reversal of 3384748120 is 218474833.

3384748120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33847481202 = 22913039671687068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384748121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7066041 + ... + 7066519.

It is an arithmetic number, because the mean of its divisors is an integer number (65318400).

Almost surely, 23384748120 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 3384748120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180377600).

3384748120 is an abundant number, since it is smaller than the sum of its proper divisors (4976007080).

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

3384748120 is a wasteful number, since it uses less digits than its factorization.

3384748120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 3384748120 is about 58178.5881575000. The cubic root of 3384748120 is about 1501.4427777426.

The spelling of 3384748120 in words is "three billion, three hundred eighty-four million, seven hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 127 130 214 254 260 428 479 508 520 535 635 856 958 1016 1070 1270 1391 1651 1916 2140 2395 2540 2782 3302 3832 4280 4790 5080 5564 6227 6604 6955 8255 9580 11128 12454 13208 13589 13910 16510 19160 24908 27178 27820 31135 33020 49816 51253 54356 55640 60833 62270 66040 67945 102506 108712 121666 124540 135890 176657 205012 243332 249080 256265 271780 304165 353314 410024 486664 512530 543560 608330 666289 706628 790829 883285 1025060 1216660 1332578 1413256 1581658 1766570 2050120 2433320 2665156 3163316 3331445 3533140 3954145 5330312 6326632 6509131 6662890 7066280 7908290 13018262 13325780 15816580 26036524 26651560 31633160 32545655 52073048 65091310 84618703 130182620 169237406 260365240 338474812 423093515 676949624 846187030 1692374060 3384748120