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993397284 = 2234112111321
BaseRepresentation
bin111011001101100…
…000101000100100
32120020020210220000
4323031200220210
54013302203114
6242323541300
733421510665
oct7315405044
92506223800
10993397284
1146a8240a0
1223882a830
1312aa67a59
1495d0d36c
155c329e09
hex3b360a24

993397284 has 120 divisors (see below), whose sum is σ = 2848603296. Its totient is φ = 299376000.

The previous prime is 993397283. The next prime is 993397289. The reversal of 993397284 is 482793399.

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

It is a self number, because there is not a number n which added to its sum of digits gives 993397284.

It is not an unprimeable number, because it can be changed into a prime (993397283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 751344 + ... + 752664.

Almost surely, 2993397284 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 993397284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424301648).

993397284 is an abundant number, since it is smaller than the sum of its proper divisors (1855206012).

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

993397284 is a wasteful number, since it uses less digits than its factorization.

993397284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1548 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 993397284 is about 31518.2055961313. The cubic root of 993397284 is about 997.7942328352.

The spelling of 993397284 in words is "nine hundred ninety-three million, three hundred ninety-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 211 297 324 396 422 594 633 844 891 1188 1266 1321 1782 1899 2321 2532 2642 3564 3798 3963 4642 5284 5697 6963 7596 7926 9284 11394 11889 13926 14531 15852 17091 20889 22788 23778 27852 29062 34182 35667 41778 43593 47556 58124 62667 68364 71334 83556 87186 107001 125334 130779 142668 174372 188001 214002 250668 261558 278731 376002 392337 428004 523116 557462 752004 784674 836193 1114924 1177011 1569348 1672386 2354022 2508579 3066041 3344772 4708044 5017158 6132082 7525737 9198123 10034316 12264164 15051474 18396246 22577211 27594369 30102948 36792492 45154422 55188738 82783107 90308844 110377476 165566214 248349321 331132428 496698642 993397284