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3483479040 = 21035226789
BaseRepresentation
bin1100111110100001…
…1010110000000000
322222202210001220020
43033220122300000
524113232312130
61333355013440
7152216040366
oct31750326000
98882701806
103483479040
1115283733a8
1281273a280
13436903902
142508db636
15155c46e10
hexcfa1ac00

3483479040 has 88 divisors (see below), whose sum is σ = 11141739120. Its totient is φ = 928923648.

The previous prime is 3483479017. The next prime is 3483479047. The reversal of 3483479040 is 409743843.

It is a junction number, because it is equal to n+sod(n) for n = 3483478983 and 3483479001.

It is not an unprimeable number, because it can be changed into a prime (3483479047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98035 + ... + 128754.

Almost surely, 23483479040 is an apocalyptic number.

3483479040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3483479040 is an abundant number, since it is smaller than the sum of its proper divisors (7658260080).

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

3483479040 is a wasteful number, since it uses less digits than its factorization.

3483479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226817 (or 226799 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3483479040 is about 59021.0050744648. The cubic root of 3483479040 is about 1515.9017951205.

The spelling of 3483479040 in words is "three billion, four hundred eighty-three million, four hundred seventy-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 226789 453578 680367 907156 1133945 1360734 1814312 2267890 2721468 3401835 3628624 4535780 5442936 6803670 7257248 9071560 10885872 13607340 14514496 18143120 21771744 27214680 29028992 36286240 43543488 54429360 58057984 72572480 87086976 108858720 116115968 145144960 174173952 217717440 232231936 290289920 348347904 435434880 580579840 696695808 870869760 1161159680 1741739520 3483479040