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1997324208 = 2432113493613
BaseRepresentation
bin111011100001100…
…1011111110110000
312011012022120201200
41313003023332300
513042303333313
6530105331200
7100331655435
oct16703137660
95135276650
101997324208
1193548a270
12478a96b00
1325aa4b459
1414d39db8c
15ba534b73
hex770cbfb0

1997324208 has 120 divisors (see below), whose sum is σ = 6117056400. Its totient is φ = 603348480.

The previous prime is 1997324149. The next prime is 1997324257. The reversal of 1997324208 is 8024237991.

1997324208 is a `hidden beast` number, since 199 + 7 + 32 + 420 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551010 + ... + 554622.

It is an arithmetic number, because the mean of its divisors is an integer number (50975470).

Almost surely, 21997324208 is an apocalyptic number.

1997324208 is a gapful number since it is divisible by the number (18) 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 1997324208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058528200).

1997324208 is an abundant number, since it is smaller than the sum of its proper divisors (4119732192).

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

1997324208 is a wasteful number, since it uses less digits than its factorization.

1997324208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1997324208 is about 44691.4332730558. The cubic root of 1997324208 is about 1259.3589180180.

The spelling of 1997324208 in words is "one billion, nine hundred ninety-seven million, three hundred twenty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 349 396 528 698 792 1047 1396 1584 2094 2792 3141 3613 3839 4188 5584 6282 7226 7678 8376 10839 11517 12564 14452 15356 16752 21678 23034 25128 28904 30712 32517 34551 39743 43356 46068 50256 57808 61424 65034 69102 79486 86712 92136 119229 130068 138204 158972 173424 184272 238458 260136 276408 317944 357687 476916 520272 552816 635888 715374 953832 1260937 1430748 1907664 2521874 2861496 3782811 5043748 5722992 7565622 10087496 11348433 13870307 15131244 20174992 22696866 27740614 30262488 41610921 45393732 55481228 60524976 83221842 90787464 110962456 124832763 166443684 181574928 221924912 249665526 332887368 499331052 665774736 998662104 1997324208