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3481505720 = 2357111130359
BaseRepresentation
bin1100111110000011…
…1000111110111000
322222122001211000022
43033200320332320
524112231140340
61333244430012
7152163211310
oct31740707670
98878054008
103481505720
111527245860
12811b48308
13436392674
14250546440
151559a73b5
hexcf838fb8

3481505720 has 64 divisors (see below), whose sum is σ = 9766310400. Its totient is φ = 1085143680.

The previous prime is 3481505719. The next prime is 3481505761. The reversal of 3481505720 is 275051843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562100 + ... + 568259.

It is an arithmetic number, because the mean of its divisors is an integer number (152598600).

Almost surely, 23481505720 is an apocalyptic number.

It is an amenable number.

3481505720 is an abundant number, since it is smaller than the sum of its proper divisors (6284804680).

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

3481505720 is a wasteful number, since it uses less digits than its factorization.

3481505720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130388 (or 1130384 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 3481505720 is about 59004.2856070642. The cubic root of 3481505720 is about 1515.6154985453.

The spelling of 3481505720 in words is "three billion, four hundred eighty-one million, five hundred five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 1130359 2260718 4521436 5651795 7912513 9042872 11303590 12433949 15825026 22607180 24867898 31650052 39562565 45214360 49735796 62169745 63300104 79125130 87037643 99471592 124339490 158250260 174075286 248678980 316500520 348150572 435188215 497357960 696301144 870376430 1740752860 3481505720