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386328720 = 243529471181
BaseRepresentation
bin10111000001101…
…110100010010000
3222220221112101010
4113001232202100
51242400004340
6102200210520
712400511541
oct2701564220
9886845333
10386328720
11189088538
12a9469a40
136206599b
14394464c8
1523db2b80
hex1706e890

386328720 has 160 divisors (see below), whose sum is σ = 1266347520. Its totient is φ = 97269760.

The previous prime is 386328703. The next prime is 386328731. The reversal of 386328720 is 27823683.

It is a happy number.

It is a super-3 number, since 3×3863287203 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326530 + ... + 327710.

It is an arithmetic number, because the mean of its divisors is an integer number (7914672).

Almost surely, 2386328720 is an apocalyptic number.

386328720 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 386328720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633173760).

386328720 is an abundant number, since it is smaller than the sum of its proper divisors (880018800).

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

386328720 is a wasteful number, since it uses less digits than its factorization.

386328720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 386328720 is about 19655.2466278091. The cubic root of 386328720 is about 728.3145704098.

The spelling of 386328720 in words is "three hundred eighty-six million, three hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 47 48 58 60 80 87 94 116 120 141 145 174 188 232 235 240 282 290 348 376 435 464 470 564 580 696 705 752 870 940 1128 1160 1181 1363 1392 1410 1740 1880 2256 2320 2362 2726 2820 3480 3543 3760 4089 4724 5452 5640 5905 6815 6960 7086 8178 9448 10904 11280 11810 13630 14172 16356 17715 18896 20445 21808 23620 27260 28344 32712 34249 35430 40890 47240 54520 55507 56688 65424 68498 70860 81780 94480 102747 109040 111014 136996 141720 163560 166521 171245 205494 222028 273992 277535 283440 327120 333042 342490 410988 444056 513735 547984 555070 666084 684980 821976 832605 888112 1027470 1110140 1332168 1369960 1609703 1643952 1665210 2054940 2220280 2664336 2739920 3219406 3330420 4109880 4440560 4829109 6438812 6660840 8048515 8219760 9658218 12877624 13321680 16097030 19316436 24145545 25755248 32194060 38632872 48291090 64388120 77265744 96582180 128776240 193164360 386328720