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3669131340 = 2232572912009
BaseRepresentation
bin1101101010110010…
…1000000001001100
3100110201010011222100
43122230220001030
530003244200330
61404030115100
7156632046630
oct33254500114
910421104870
103669131340
111613146756
1286494ba90
13466206444
1426b426dc0
151671ba060
hexdab2804c

3669131340 has 72 divisors (see below), whose sum is σ = 12719659680. Its totient is φ = 838658304.

The previous prime is 3669131339. The next prime is 3669131341. The reversal of 3669131340 is 431319663.

It is an interprime number because it is at equal distance from previous prime (3669131339) and next prime (3669131341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3669131295 and 3669131304.

It is not an unprimeable number, because it can be changed into a prime (3669131341) 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 23 ways as a sum of consecutive naturals, for example, 1454745 + ... + 1457264.

It is an arithmetic number, because the mean of its divisors is an integer number (176661940).

Almost surely, 23669131340 is an apocalyptic number.

3669131340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3669131340 is an abundant number, since it is smaller than the sum of its proper divisors (9050528340).

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

3669131340 is a wasteful number, since it uses less digits than its factorization.

3669131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912031 (or 2912026 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3669131340 is about 60573.3550333808. The cubic root of 3669131340 is about 1542.3670995861.

The spelling of 3669131340 in words is "three billion, six hundred sixty-nine million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2912009 5824018 8736027 11648036 14560045 17472054 20384063 26208081 29120090 34944108 40768126 43680135 52416162 58240180 61152189 81536252 87360270 101920315 104832324 122304378 131040405 174720540 183456567 203840630 244608756 262080810 305760945 366913134 407681260 524161620 611521890 733826268 917282835 1223043780 1834565670 3669131340