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3497166040 = 2351514431307
BaseRepresentation
bin1101000001110010…
…1000010011011000
3100000201112102221011
43100130220103120
524130233303130
61335004223304
7152443264234
oct32034502330
910021472834
103497166040
111535071675
1281723ab34
134396b6724
142526615c4
1515704c52a
hexd07284d8

3497166040 has 64 divisors (see below), whose sum is σ = 7944687360. Its totient is φ = 1385404800.

The previous prime is 3497165981. The next prime is 3497166041. The reversal of 3497166040 is 406617943.

It is a super-2 number, since 2×34971660402 = 24460340622658563200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3497165984 and 3497166002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3497166041) 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 15 ways as a sum of consecutive naturals, for example, 2675067 + ... + 2676373.

It is an arithmetic number, because the mean of its divisors is an integer number (124135740).

Almost surely, 23497166040 is an apocalyptic number.

It is an amenable number.

3497166040 is an abundant number, since it is smaller than the sum of its proper divisors (4447521320).

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

3497166040 is a wasteful number, since it uses less digits than its factorization.

3497166040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 3497166040 is about 59136.8416471492. The cubic root of 3497166040 is about 1517.8845861578.

The spelling of 3497166040 in words is "three billion, four hundred ninety-seven million, one hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 151 302 443 604 755 886 1208 1307 1510 1772 2215 2614 3020 3544 4430 5228 6040 6535 8860 10456 13070 17720 26140 52280 66893 133786 197357 267572 334465 394714 535144 579001 668930 789428 986785 1158002 1337860 1578856 1973570 2316004 2675720 2895005 3947140 4632008 5790010 7894280 11580020 23160040 87429151 174858302 349716604 437145755 699433208 874291510 1748583020 3497166040