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396001008 = 243313107659
BaseRepresentation
bin10111100110100…
…111111011110000
31000121010221021000
4113212213323300
51302334013013
6103143402000
712545644614
oct2746477360
91017127230
10396001008
11193594467
12b0753300
1364071330
143a843344
1524b73973
hex179a7ef0

396001008 has 160 divisors (see below), whose sum is σ = 1237420800. Its totient is φ = 120524544.

The previous prime is 396001007. The next prime is 396001013. The reversal of 396001008 is 800100693.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396001007) 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, 600583 + ... + 601241.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2396001008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396001008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

396001008 is an abundant number, since it is smaller than the sum of its proper divisors (841419792).

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

396001008 is a wasteful number, since it uses less digits than its factorization.

396001008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 396001008 is about 19899.7740690692. The cubic root of 396001008 is about 734.3426692826.

The spelling of 396001008 in words is "three hundred ninety-six million, one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 107 108 117 144 156 208 214 216 234 312 321 351 428 432 468 624 642 659 702 856 936 963 1284 1318 1391 1404 1712 1872 1926 1977 2568 2636 2782 2808 2889 3852 3954 4173 5136 5272 5564 5616 5778 5931 7704 7908 8346 8567 10544 11128 11556 11862 12519 15408 15816 16692 17134 17793 22256 23112 23724 25038 25701 31632 33384 34268 35586 37557 46224 47448 50076 51402 66768 68536 70513 71172 75114 77103 94896 100152 102804 137072 141026 142344 150228 154206 200304 205608 211539 231309 282052 284688 300456 308412 411216 423078 462618 564104 600912 616824 634617 846156 916669 925236 1128208 1233648 1269234 1692312 1833338 1850472 1903851 2538468 2750007 3384624 3666676 3700944 3807702 5076936 5500014 7333352 7615404 8250021 10153872 11000028 14666704 15230808 16500042 22000056 24750063 30461616 33000084 44000112 49500126 66000168 99000252 132000336 198000504 396001008