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3481300200 = 233527828881
BaseRepresentation
bin1100111110000000…
…0110110011101000
322222121200101002110
43033200012303220
524112203101300
61333240202320
7152161364160
oct31740066350
98877611073
103481300200
111527115404
12811a693a0
1343631cc61
142504d15a0
15155966550
hexcf806ce8

3481300200 has 96 divisors (see below), whose sum is σ = 12333764160. Its totient is φ = 795724800.

The previous prime is 3481300169. The next prime is 3481300211. The reversal of 3481300200 is 20031843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410241 + ... + 418640.

It is an arithmetic number, because the mean of its divisors is an integer number (128476710).

Almost surely, 23481300200 is an apocalyptic number.

3481300200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3481300200 is an abundant number, since it is smaller than the sum of its proper divisors (8852463960).

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

3481300200 is a wasteful number, since it uses less digits than its factorization.

3481300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828907 (or 828898 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3481300200 is about 59002.5440129491. The cubic root of 3481300200 is about 1515.5856747227.

The spelling of 3481300200 in words is "three billion, four hundred eighty-one million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 828881 1657762 2486643 3315524 4144405 4973286 5802167 6631048 8288810 9946572 11604334 12433215 16577620 17406501 19893144 20722025 23208668 24866430 29010835 33155240 34813002 41444050 46417336 49732860 58021670 62166075 69626004 82888100 87032505 99465720 116043340 124332150 139252008 145054175 165776200 174065010 232086680 248664300 290108350 348130020 435162525 497328600 580216700 696260040 870325050 1160433400 1740650100 3481300200