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1384737984 = 26337114479
BaseRepresentation
bin101001010001001…
…0110110011000000
310120111121222102000
41102202112303000
510313443103414
6345223424000
746213035660
oct12242266300
93514558360
101384737984
11650715163
123278b5000
13190b66ab6
14d1c9c1a0
158187cb09
hex52896cc0

1384737984 has 112 divisors (see below), whose sum is σ = 4652467200. Its totient is φ = 395635968.

The previous prime is 1384737973. The next prime is 1384738057. The reversal of 1384737984 is 4897374831.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1384737984.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45144 + ... + 69335.

Almost surely, 21384737984 is an apocalyptic number.

1384737984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1384737984 is an abundant number, since it is smaller than the sum of its proper divisors (3267729216).

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

1384737984 is a wasteful number, since it uses less digits than its factorization.

1384737984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114507 (or 114491 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 1384737984 is about 37212.0677200287. The cubic root of 1384737984 is about 1114.6089733296.

The spelling of 1384737984 in words is "one billion, three hundred eighty-four million, seven hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 114479 228958 343437 457916 686874 801353 915832 1030311 1373748 1602706 1831664 2060622 2404059 2747496 3090933 3205412 3663328 4121244 4808118 5494992 6181866 6410824 7212177 7326656 8242488 9616236 10989984 12363732 12821648 14424354 16484976 19232472 21636531 21979968 24727464 25643296 28848708 32969952 38464944 43273062 49454928 51286592 57697416 65939904 76929888 86546124 98909856 115394832 153859776 173092248 197819712 230789664 346184496 461579328 692368992 1384737984