Search a number
-
+
628321320 = 233351152889
BaseRepresentation
bin100101011100110…
…110110000101000
31121210022000211000
4211130312300220
52241322240240
6142203035000
721366433404
oct4534666050
91553260730
10628321320
112a2742120
1215650ba60
13a0233783
145d63a104
153a264430
hex25736c28

628321320 has 128 divisors (see below), whose sum is σ = 2284848000. Its totient is φ = 152317440.

The previous prime is 628321313. The next prime is 628321327. The reversal of 628321320 is 23123826.

628321320 is a `hidden beast` number, since 628 + 3 + 2 + 1 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (628321313) and next prime (628321327).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (628321327) 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, 14565 + ... + 38324.

It is an arithmetic number, because the mean of its divisors is an integer number (17850375).

Almost surely, 2628321320 is an apocalyptic number.

628321320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628321320 is an abundant number, since it is smaller than the sum of its proper divisors (1656526680).

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

628321320 is a wasteful number, since it uses less digits than its factorization.

628321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52920 (or 52910 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 628321320 is about 25066.3383843752. The cubic root of 628321320 is about 856.4997991050.

The spelling of 628321320 in words is "six hundred twenty-eight million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 52889 105778 158667 211556 264445 317334 423112 476001 528890 581779 634668 793335 952002 1057780 1163558 1269336 1428003 1586670 1745337 1904004 2115560 2327116 2380005 2856006 2908895 3173340 3490674 3808008 4654232 4760010 5236011 5712012 5817790 6346680 6981348 7140015 8726685 9520020 10472022 11424024 11635580 13962696 14280030 15708033 17453370 19040040 20944044 23271160 26180055 28560060 31416066 34906740 41888088 52360110 57120120 62832132 69813480 78540165 104720220 125664264 157080330 209440440 314160660 628321320