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395689320 = 233351328183
BaseRepresentation
bin10111100101011…
…011110101101000
31000120120002201000
4113211123311220
51302244024240
6103132555000
712543206115
oct2745336550
91016502630
10395689320
111933a1274
12b0622a60
1363c924c0
143a7a190c
1524b11430
hex1795bd68

395689320 has 128 divisors (see below), whose sum is σ = 1420473600. Its totient is φ = 97396992.

The previous prime is 395689313. The next prime is 395689321. The reversal of 395689320 is 23986593.

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

It is not an unprimeable number, because it can be changed into a prime (395689321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52 + ... + 28131.

It is an arithmetic number, because the mean of its divisors is an integer number (11097450).

Almost surely, 2395689320 is an apocalyptic number.

395689320 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 395689320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710236800).

395689320 is an abundant number, since it is smaller than the sum of its proper divisors (1024784280).

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

395689320 is a wasteful number, since it uses less digits than its factorization.

395689320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28216 (or 28206 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 395689320 is about 19891.9410817547. The cubic root of 395689320 is about 734.1499543898.

The spelling of 395689320 in words is "three hundred ninety-five million, six hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 28183 56366 84549 112732 140915 169098 225464 253647 281830 338196 366379 422745 507294 563660 676392 732758 760941 845490 1014588 1099137 1127320 1268235 1465516 1521882 1690980 1831895 2029176 2198274 2536470 2931032 3043764 3297411 3381960 3663790 3804705 4396548 5072940 5495685 6087528 6594822 7327580 7609410 8793096 9892233 10145880 10991370 13189644 14655160 15218820 16487055 19784466 21982740 26379288 30437640 32974110 39568932 43965480 49461165 65948220 79137864 98922330 131896440 197844660 395689320