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3678852420 = 2232529704761
BaseRepresentation
bin1101101101000110…
…1101010101000100
3100111101102001210100
43123101231111010
530013241234140
61405014324100
7160110505155
oct33321552504
910441361710
103678852420
111618686301
12868059630
1346822b069
1426c83792c
15167e8a530
hexdb46d544

3678852420 has 72 divisors (see below), whose sum is σ = 11544001560. Its totient is φ = 947197440.

The previous prime is 3678852383. The next prime is 3678852427. The reversal of 3678852420 is 242588763.

3678852420 is a `hidden beast` number, since 36 + 78 + 8 + 524 + 20 = 666.

3678852420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 274830084 + 3404022336 = 16578^2 + 58344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3678852427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347161 + ... + 357600.

It is an arithmetic number, because the mean of its divisors is an integer number (160333355).

Almost surely, 23678852420 is an apocalyptic number.

3678852420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3678852420 is an abundant number, since it is smaller than the sum of its proper divisors (7865149140).

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

3678852420 is a wasteful number, since it uses less digits than its factorization.

3678852420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704805 (or 704800 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3678852420 is about 60653.5441668498. The cubic root of 3678852420 is about 1543.7280258910.

The spelling of 3678852420 in words is "three billion, six hundred seventy-eight million, eight hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 704761 1409522 2114283 2819044 3523805 4228566 6342849 7047610 8457132 10571415 12685698 14095220 20438069 21142830 25371396 31714245 40876138 42285660 61314207 63428490 81752276 102190345 122628414 126856980 183942621 204380690 245256828 306571035 367885242 408761380 613142070 735770484 919713105 1226284140 1839426210 3678852420