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670438000 = 24531013319
BaseRepresentation
bin100111111101100…
…001001001110000
31201201112210001001
4213331201021300
52333113004000
6150305451344
722420425511
oct4775411160
91651483031
10670438000
11314498aa1
12168640b54
13a8b8b89b
1465080a08
153dcd346a
hex27f61270

670438000 has 80 divisors (see below), whose sum is σ = 1637663040. Its totient is φ = 265440000.

The previous prime is 670437997. The next prime is 670438049. The reversal of 670438000 is 834076.

670438000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6704380002 = 898974223688000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 670438000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200341 + ... + 203659.

It is an arithmetic number, because the mean of its divisors is an integer number (20470788).

Almost surely, 2670438000 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 670438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818831520).

670438000 is an abundant number, since it is smaller than the sum of its proper divisors (967225040).

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

670438000 is a wasteful number, since it uses less digits than its factorization.

670438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 670438000 is about 25892.8175369155. The cubic root of 670438000 is about 875.2246498009.

The spelling of 670438000 in words is "six hundred seventy million, four hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 808 1000 1010 1616 2000 2020 2525 3319 4040 5050 6638 8080 10100 12625 13276 16595 20200 25250 26552 33190 40400 50500 53104 66380 82975 101000 132760 165950 202000 265520 331900 335219 414875 663800 670438 829750 1327600 1340876 1659500 1676095 2681752 3319000 3352190 5363504 6638000 6704380 8380475 13408760 16760950 26817520 33521900 41902375 67043800 83804750 134087600 167609500 335219000 670438000