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3418478480 = 245192248999
BaseRepresentation
bin1100101111000001…
…1101011110010000
322211020110200220002
43023300131132100
524000112302410
61323113505132
7150466405364
oct31360353620
98736420802
103418478480
1114a470752a
127b4a121a8
134262c5841
1424601b2a4
151501a77a5
hexcbc1d790

3418478480 has 40 divisors (see below), whose sum is σ = 8366280000. Its totient is φ = 1295422848.

The previous prime is 3418478449. The next prime is 3418478509. The reversal of 3418478480 is 848748143.

3418478480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34184784802 = 23371990236446220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1122980 + ... + 1126019.

It is an arithmetic number, because the mean of its divisors is an integer number (209157000).

Almost surely, 23418478480 is an apocalyptic number.

It is an amenable number.

3418478480 is an abundant number, since it is smaller than the sum of its proper divisors (4947801520).

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

3418478480 is a wasteful number, since it uses less digits than its factorization.

3418478480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249031 (or 2249025 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 47.

The square root of 3418478480 is about 58467.7559001541. The cubic root of 3418478480 is about 1506.4137927172.

The spelling of 3418478480 in words is "three billion, four hundred eighteen million, four hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2248999 4497998 8995996 11244995 17991992 22489990 35983984 42730981 44979980 85461962 89959960 170923924 179919920 213654905 341847848 427309810 683695696 854619620 1709239240 3418478480