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3481026900 = 22352137312227
BaseRepresentation
bin1100111101111100…
…0100000101010100
322222121011111012020
43033133010011110
524112120330100
61333230253140
7152156145321
oct31737040524
98877144166
103481026900
111526a4903a
128119571b0
13436255740
1425045db48
151559105a0
hexcf7c4154

3481026900 has 144 divisors (see below), whose sum is σ = 10996004544. Its totient is φ = 845061120.

The previous prime is 3481026893. The next prime is 3481026959. The reversal of 3481026900 is 96201843.

3481026900 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 2×34810269002 = 24235096557047220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278587 + ... + 290813.

Almost surely, 23481026900 is an apocalyptic number.

3481026900 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 3481026900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498002272).

3481026900 is an abundant number, since it is smaller than the sum of its proper divisors (7514977644).

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

3481026900 is a wasteful number, since it uses less digits than its factorization.

3481026900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12330 (or 12323 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3481026900 is about 59000.2279656613. The cubic root of 3481026900 is about 1515.5460132571.

The spelling of 3481026900 in words is "three billion, four hundred eighty-one million, twenty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 73 75 78 100 130 146 150 156 195 219 260 292 300 325 365 390 438 650 730 780 876 949 975 1095 1300 1460 1825 1898 1950 2190 2847 3650 3796 3900 4380 4745 5475 5694 7300 9490 10950 11388 12227 14235 18980 21900 23725 24454 28470 36681 47450 48908 56940 61135 71175 73362 94900 122270 142350 146724 158951 183405 244540 284700 305675 317902 366810 476853 611350 635804 733620 794755 892571 917025 953706 1222700 1589510 1785142 1834050 1907412 2384265 2677713 3179020 3570284 3668100 3973775 4462855 4768530 5355426 7947550 8925710 9537060 10710852 11603423 11921325 13388565 15895100 17851420 22314275 23206846 23842650 26777130 34810269 44628550 46413692 47685300 53554260 58017115 66942825 69620538 89257100 116034230 133885650 139241076 174051345 232068460 267771300 290085575 348102690 580171150 696205380 870256725 1160342300 1740513450 3481026900