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1630311116 = 2272343113521
BaseRepresentation
bin110000100101100…
…1001001011001100
311012121201101102012
41201023021023030
511314324423431
6425435120352
755254262430
oct14113111314
94177641365
101630311116
117672a4965
12395ba30b8
131cc9b9545
141167449c0
15981da22b
hex612c92cc

1630311116 has 96 divisors (see below), whose sum is σ = 3519065088. Its totient is φ = 645765120.

The previous prime is 1630311083. The next prime is 1630311119. The reversal of 1630311116 is 6111130361.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1630311091 and 1630311100.

It is not an unprimeable number, because it can be changed into a prime (1630311119) 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 31 ways as a sum of consecutive naturals, for example, 3128936 + ... + 3129456.

It is an arithmetic number, because the mean of its divisors is an integer number (36656928).

Almost surely, 21630311116 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 1630311116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759532544).

1630311116 is an abundant number, since it is smaller than the sum of its proper divisors (1888753972).

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

1630311116 is a wasteful number, since it uses less digits than its factorization.

1630311116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1630311116 is about 40377.1112884515. Note that the first 3 decimals coincide. The cubic root of 1630311116 is about 1176.9467931454.

Adding to 1630311116 its reverse (6111130361), we get a palindrome (7741441477).

The spelling of 1630311116 in words is "one billion, six hundred thirty million, three hundred eleven thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 23 28 43 46 86 92 113 161 172 226 301 322 452 521 602 644 791 989 1042 1204 1582 1978 2084 2599 3164 3647 3956 4859 5198 6923 7294 9718 10396 11983 13846 14588 18193 19436 22403 23966 27692 34013 36386 44806 47932 58873 68026 72772 83881 89612 111757 117746 136052 156821 167762 223514 235492 313642 335524 412111 447028 515269 627284 782299 824222 1030538 1354079 1564598 1648444 2061076 2531539 2708158 3129196 3606883 5063078 5416316 7213766 9478553 10126156 14427532 17720773 18957106 35441546 37914212 58225397 70883092 116450794 232901588 407577779 815155558 1630311116