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374220 = 22355711
BaseRepresentation
bin1011011010111001100
3201000100000
41123113030
543433340
612004300
73116010
oct1332714
9630300
10374220
11236180
12160690
13101442
149a540
1575d30
hex5b5cc

374220 has 144 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 77760.

The previous prime is 374219. The next prime is 374239. The reversal of 374220 is 22473.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 374193 and 374202.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 374220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34015 + ... + 34025.

It is an arithmetic number, because the mean of its divisors is an integer number (10192).

2374220 is an apocalyptic number.

374220 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 374220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

374220 is an abundant number, since it is smaller than the sum of its proper divisors (1093428).

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

374220 is a wasteful number, since it uses less digits than its factorization.

374220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 374220 is about 611.7352368468. The cubic root of 374220 is about 72.0624458249.

Adding to 374220 its reverse (22473), we get a palindrome (396693).

The spelling of 374220 in words is "three hundred seventy-four thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 27 28 30 33 35 36 42 44 45 54 55 60 63 66 70 77 81 84 90 99 105 108 110 126 132 135 140 154 162 165 180 189 198 210 220 231 243 252 270 297 308 315 324 330 378 385 396 405 420 462 486 495 540 567 594 630 660 693 756 770 810 891 924 945 972 990 1134 1155 1188 1215 1260 1386 1485 1540 1620 1701 1782 1890 1980 2079 2268 2310 2430 2673 2772 2835 2970 3402 3465 3564 3780 4158 4455 4620 4860 5346 5670 5940 6237 6804 6930 8316 8505 8910 10395 10692 11340 12474 13365 13860 17010 17820 18711 20790 24948 26730 31185 34020 37422 41580 53460 62370 74844 93555 124740 187110 374220