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3198000 = 243531341
BaseRepresentation
bin1100001100110000110000
320000110211110
430030300300
51304314000
6152313320
736116421
oct14146060
96013743
103198000
111894783
1210a2840
1387c810
145d3648
15432850
hex30cc30

3198000 has 160 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 768000.

The previous prime is 3197983. The next prime is 3198007. The reversal of 3198000 is 8913.

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 (3198007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77980 + ... + 78020.

Almost surely, 23198000 is an apocalyptic number.

3198000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

3198000 is an abundant number, since it is smaller than the sum of its proper divisors (8176272).

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

3198000 is a wasteful number, since it uses less digits than its factorization.

3198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 3198000 is about 1788.2952776317. The cubic root of 3198000 is about 147.3305532850.

The spelling of 3198000 in words is "three million, one hundred ninety-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 41 48 50 52 60 65 75 78 80 82 100 104 120 123 125 130 150 156 164 195 200 205 208 240 246 250 260 300 312 325 328 375 390 400 410 492 500 520 533 600 615 624 650 656 750 780 820 975 984 1000 1025 1040 1066 1200 1230 1300 1500 1560 1599 1625 1640 1950 1968 2000 2050 2132 2460 2600 2665 3000 3075 3120 3198 3250 3280 3900 4100 4264 4875 4920 5125 5200 5330 6000 6150 6396 6500 7800 7995 8200 8528 9750 9840 10250 10660 12300 12792 13000 13325 15375 15600 15990 16400 19500 20500 21320 24600 25584 26000 26650 30750 31980 39000 39975 41000 42640 49200 53300 61500 63960 66625 78000 79950 82000 106600 123000 127920 133250 159900 199875 213200 246000 266500 319800 399750 533000 639600 799500 1066000 1599000 3198000