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386830224 = 24321121492
BaseRepresentation
bin10111000011101…
…000111110010000
3222221220000022100
4113003220332100
51243012031344
6102215040400
712405000624
oct2703507620
9887800270
10386830224
111893a0300
12a9670100
13621b0031
1439537184
1523e61569
hex170e8f90

386830224 has 135 divisors (see below), whose sum is σ = 1197991249. Its totient is φ = 116434560.

The previous prime is 386830211. The next prime is 386830237. The reversal of 386830224 is 422038683.

The square root of 386830224 is 19668.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (386830211) and next prime (386830237).

It can be written as a sum of positive squares in only one way, i.e., 45319824 + 341510400 = 6732^2 + 18480^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2596102 + ... + 2596250.

Almost surely, 2386830224 is an apocalyptic number.

386830224 is the 19668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386830224

386830224 is an abundant number, since it is smaller than the sum of its proper divisors (811161025).

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

386830224 is a wasteful number, since it uses less digits than its factorization.

386830224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 386830224 is about 728.6295825718.

Multiplying 386830224 by its sum of digits (36), we get a square (13925888064 = 1180082).

386830224 divided by its sum of digits (36) gives a square (10745284 = 32782).

The spelling of 386830224 in words is "three hundred eighty-six million, eight hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 149 176 198 242 264 298 363 396 447 484 528 596 726 792 894 968 1089 1192 1341 1452 1584 1639 1788 1936 2178 2384 2682 2904 3278 3576 4356 4917 5364 5808 6556 7152 8712 9834 10728 13112 14751 17424 18029 19668 21456 22201 26224 29502 36058 39336 44402 54087 59004 66603 72116 78672 88804 108174 118008 133206 144232 162261 177608 199809 216348 236016 244211 266412 288464 324522 355216 399618 432696 488422 532824 649044 732633 799236 865392 976844 1065648 1298088 1465266 1598472 1953688 2197899 2596176 2686321 2930532 3196944 3907376 4395798 5372642 5861064 8058963 8791596 10745284 11722128 16117926 17583192 21490568 24176889 32235852 35166384 42981136 48353778 64471704 96707556 128943408 193415112 386830224