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3379000 = 235331109
BaseRepresentation
bin1100111000111100111000
320100200010011
430320330320
51331112000
6200231304
740502212
oct14707470
96320104
103379000
1119a8769
12116b534
13914011
1463d5b2
1546b2ba
hex338f38

3379000 has 64 divisors (see below), whose sum is σ = 8236800. Its totient is φ = 1296000.

The previous prime is 3378997. The next prime is 3379001. The reversal of 3379000 is 9733.

It is a super-2 number, since 2×33790002 = 22835282000000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3379001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30946 + ... + 31054.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

Almost surely, 23379000 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 3379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118400).

3379000 is an abundant number, since it is smaller than the sum of its proper divisors (4857800).

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

3379000 is a wasteful number, since it uses less digits than its factorization.

3379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 3379000 is about 1838.2056468197. The cubic root of 3379000 is about 150.0592358636.

The spelling of 3379000 in words is "three million, three hundred seventy-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 109 124 125 155 200 218 248 250 310 436 500 545 620 775 872 1000 1090 1240 1550 2180 2725 3100 3379 3875 4360 5450 6200 6758 7750 10900 13516 13625 15500 16895 21800 27032 27250 31000 33790 54500 67580 84475 109000 135160 168950 337900 422375 675800 844750 1689500 3379000