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381307122 = 23372532719
BaseRepresentation
bin10110101110100…
…100100011110010
3222120111102001000
4112232210203302
51240103311442
6101500422430
712310025400
oct2656444362
9876442030
10381307122
11186268759
12a7847a16
1360cc8121
14388da470
152371ed4c
hex16ba48f2

381307122 has 96 divisors (see below), whose sum is σ = 1004659200. Its totient is φ = 106850016.

The previous prime is 381307111. The next prime is 381307123. The reversal of 381307122 is 221703183.

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

It is not an unprimeable number, because it can be changed into a prime (381307123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138879 + ... + 141597.

It is an arithmetic number, because the mean of its divisors is an integer number (10465200).

Almost surely, 2381307122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381307122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502329600).

381307122 is an abundant number, since it is smaller than the sum of its proper divisors (623352078).

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

381307122 is a wasteful number, since it uses less digits than its factorization.

381307122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 381307122 is about 19527.0868795118. The cubic root of 381307122 is about 725.1451929581.

The spelling of 381307122 in words is "three hundred eighty-one million, three hundred seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 53 54 63 98 106 126 147 159 189 294 318 371 378 441 477 742 882 954 1113 1323 1431 2226 2597 2646 2719 2862 3339 5194 5438 6678 7791 8157 10017 15582 16314 19033 20034 23373 24471 38066 46746 48942 57099 70119 73413 114198 133231 140238 144107 146826 171297 266462 288214 342594 399693 432321 513891 799386 864642 1008749 1027782 1199079 1296963 2017498 2398158 2593926 3026247 3597237 3890889 6052494 7061243 7194474 7781778 9078741 14122486 18157482 21183729 27236223 42367458 54472446 63551187 127102374 190653561 381307122