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3842370 = 2335719107
BaseRepresentation
bin1110101010000101000010
321020012202000
432222011002
51440423440
6214204430
744442150
oct16520502
97205660
103842370
112194914
121353716
13a46bbc
147203d0
1550d730
hex3aa142

3842370 has 128 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 824256.

The previous prime is 3842369. The next prime is 3842381. The reversal of 3842370 is 732483.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35857 + ... + 35963.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

Almost surely, 23842370 is an apocalyptic number.

3842370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3842370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

3842370 is an abundant number, since it is smaller than the sum of its proper divisors (8599230).

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

3842370 is a wasteful number, since it uses less digits than its factorization.

3842370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3842370 is about 1960.1964187295. The cubic root of 3842370 is about 156.6269151195.

The spelling of 3842370 in words is "three million, eight hundred forty-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 107 114 126 133 135 171 189 190 210 214 266 270 285 315 321 342 378 399 513 535 570 630 642 665 749 798 855 945 963 1026 1070 1197 1330 1498 1605 1710 1890 1926 1995 2033 2247 2394 2565 2889 3210 3591 3745 3990 4066 4494 4815 5130 5778 5985 6099 6741 7182 7490 9630 10165 11235 11970 12198 13482 14231 14445 17955 18297 20223 20330 22470 28462 28890 30495 33705 35910 36594 40446 42693 54891 60990 67410 71155 85386 91485 101115 109782 128079 142310 182970 202230 213465 256158 274455 384237 426930 548910 640395 768474 1280790 1921185 3842370