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3346745000 = 23542923081
BaseRepresentation
bin1100011101111011…
…0100011010101000
322122020111021001112
43013132310122220
523323231320000
61312032205452
7145635602024
oct30736643250
98566437045
103346745000
111468172065
12794999888
1341449acb1
1423a6a7384
15148c38235
hexc77b46a8

3346745000 has 80 divisors (see below), whose sum is σ = 8112168900. Its totient is φ = 1292480000.

The previous prime is 3346744957. The next prime is 3346745009. The reversal of 3346745000 is 5476433.

It can be written as a sum of positive squares in 10 ways, for example, as 251603044 + 3095141956 = 15862^2 + 55634^2 .

It is a super-3 number, since 3×33467450003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3346745009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133460 + ... + 156540.

Almost surely, 23346745000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3346745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056084450).

3346745000 is an abundant number, since it is smaller than the sum of its proper divisors (4765423900).

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

3346745000 is a wasteful number, since it uses less digits than its factorization.

3346745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23136 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 3346745000 is about 57851.0587629993. The cubic root of 3346745000 is about 1495.8023381216.

The spelling of 3346745000 in words is "three billion, three hundred forty-six million, seven hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 625 725 1000 1160 1250 1450 2500 2900 3625 5000 5800 7250 14500 18125 23081 29000 36250 46162 72500 92324 115405 145000 184648 230810 461620 577025 669349 923240 1154050 1338698 2308100 2677396 2885125 3346745 4616200 5354792 5770250 6693490 11540500 13386980 14425625 16733725 23081000 26773960 28851250 33467450 57702500 66934900 83668625 115405000 133869800 167337250 334674500 418343125 669349000 836686250 1673372500 3346745000