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381949920 = 253251124113
BaseRepresentation
bin10110110001000…
…001011111100000
3222121201001210100
4112301001133200
51240234344140
6101522302400
712315343422
oct2661013740
9877631710
10381949920
111866676a0
12a7ab7a00
1361191891
1438a26812
15237ea530
hex16c417e0

381949920 has 144 divisors (see below), whose sum is σ = 1421954352. Its totient is φ = 92590080.

The previous prime is 381949901. The next prime is 381949921. The reversal of 381949920 is 29949183.

381949920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381949921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3784 + ... + 27896.

It is an arithmetic number, because the mean of its divisors is an integer number (9874683).

Almost surely, 2381949920 is an apocalyptic number.

381949920 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 381949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710977176).

381949920 is an abundant number, since it is smaller than the sum of its proper divisors (1040004432).

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

381949920 is a wasteful number, since it uses less digits than its factorization.

381949920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24145 (or 24134 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 381949920 is about 19543.5390858462. The cubic root of 381949920 is about 725.5524414046.

The spelling of 381949920 in words is "three hundred eighty-one million, nine hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 24113 48226 72339 96452 120565 144678 192904 217017 241130 265243 289356 361695 385808 434034 482260 530486 578712 723390 771616 795729 868068 964520 1060972 1085085 1157424 1326215 1446780 1591458 1736136 1929040 2121944 2170170 2314848 2387187 2652430 2893560 3182916 3472272 3858080 3978645 4243888 4340340 4774374 5304860 5787120 6365832 6944544 7957290 8487776 8680680 9548748 10609720 11574240 11935935 12731664 15914580 17361360 19097496 21219440 23871870 25463328 31829160 34722720 38194992 42438880 47743740 63658320 76389984 95487480 127316640 190974960 381949920