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381374028 = 223373116273
BaseRepresentation
bin10110101110110…
…100111001001100
3222120121210211000
4112232310321030
51240112432103
6101502100300
712310424430
oct2656647114
9876553730
10381374028
11186303a52
12a787a690
136101c709
14389169c0
1523734aa3
hex16bb4e4c

381374028 has 96 divisors (see below), whose sum is σ = 1166520320. Its totient is φ = 105442560.

The previous prime is 381374003. The next prime is 381374029. The reversal of 381374028 is 820473183.

It is a super-2 number, since 2×3813740282 = 290892298465889568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 381373983 and 381374001.

It is not an unprimeable number, because it can be changed into a prime (381374029) 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, 15300 + ... + 31572.

Almost surely, 2381374028 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 381374028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583260160).

381374028 is an abundant number, since it is smaller than the sum of its proper divisors (785146292).

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

381374028 is a wasteful number, since it uses less digits than its factorization.

381374028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16324 (or 16316 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 381374028 is about 19528.7999631314. The cubic root of 381374028 is about 725.1876029771.

It can be divided in two parts, 3813 and 74028, that added together give a square (77841 = 2792).

The spelling of 381374028 in words is "three hundred eighty-one million, three hundred seventy-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 7812 11718 16273 23436 32546 48819 65092 97638 113911 146457 195276 227822 292914 341733 439371 455644 504463 585828 683466 878742 1008926 1025199 1366932 1513389 1757484 2017852 2050398 3026778 3075597 3531241 4100796 4540167 6053556 6151194 7062482 9080334 10593723 12302388 13620501 14124964 18160668 21187446 27241002 31781169 42374892 54482004 63562338 95343507 127124676 190687014 381374028