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1397284824 = 2331331731979
BaseRepresentation
bin101001101001000…
…1101111111011000
310121101020102102210
41103102031333120
510330201103244
6350352355120
746424503455
oct12322157730
93541212383
101397284824
11657804851
1232bb45aa0
1319363a970
14d380682c
1582a0a4b9
hex5348dfd8

1397284824 has 128 divisors (see below), whose sum is σ = 3938457600. Its totient is φ = 410158080.

The previous prime is 1397284817. The next prime is 1397284841. The reversal of 1397284824 is 4284827931.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705067 + ... + 707045.

It is an arithmetic number, because the mean of its divisors is an integer number (30769200).

Almost surely, 21397284824 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 1397284824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969228800).

1397284824 is an abundant number, since it is smaller than the sum of its proper divisors (2541172776).

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

1397284824 is a wasteful number, since it uses less digits than its factorization.

1397284824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2101 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 1397284824 is about 37380.2731932232. The cubic root of 1397284824 is about 1117.9652746769.

The spelling of 1397284824 in words is "one billion, three hundred ninety-seven million, two hundred eighty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 73 78 93 104 124 146 156 186 219 248 292 312 372 403 438 584 744 806 876 949 1209 1612 1752 1898 1979 2263 2418 2847 3224 3796 3958 4526 4836 5694 5937 6789 7592 7916 9052 9672 11388 11874 13578 15832 18104 22776 23748 25727 27156 29419 47496 51454 54312 58838 61349 77181 88257 102908 117676 122698 144467 154362 176514 184047 205816 235352 245396 288934 308724 353028 368094 433401 490792 577868 617448 706056 736188 797537 866802 1155736 1472376 1595074 1733604 1878071 2392611 3190148 3467208 3756142 4478477 4785222 5634213 6380296 7512284 8956954 9570444 11268426 13435431 15024568 17913908 19140888 22536852 26870862 35827816 45073704 53741724 58220201 107483448 116440402 174660603 232880804 349321206 465761608 698642412 1397284824