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1303345164 = 22311591131481
BaseRepresentation
bin100110110101111…
…0111100000001100
310100211110210110010
41031223313200030
510132124021124
6333155113220
744204152062
oct11553674014
93324423403
101303345164
11609782570
123045a2810
1317a039774
14c5152032
1579651529
hex4daf780c

1303345164 has 96 divisors (see below), whose sum is σ = 3405991680. Its totient is φ = 384563200.

The previous prime is 1303345123. The next prime is 1303345177. The reversal of 1303345164 is 4615433031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879304 + ... + 880784.

It is an arithmetic number, because the mean of its divisors is an integer number (35479080).

Almost surely, 21303345164 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 1303345164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702995840).

1303345164 is an abundant number, since it is smaller than the sum of its proper divisors (2102646516).

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

1303345164 is a wasteful number, since it uses less digits than its factorization.

1303345164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1303345164 is about 36101.8720290236. The cubic root of 1303345164 is about 1092.3282064352.

Adding to 1303345164 its reverse (4615433031), we get a palindrome (5918778195).

The spelling of 1303345164 in words is "one billion, three hundred three million, three hundred forty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 113 118 132 177 226 236 339 354 452 649 678 708 1243 1298 1356 1481 1947 2486 2596 2962 3729 3894 4443 4972 5924 6667 7458 7788 8886 13334 14916 16291 17772 20001 26668 32582 40002 48873 65164 73337 80004 87379 97746 146674 167353 174758 195492 220011 262137 293348 334706 349516 440022 502059 524274 669412 880044 961169 1004118 1048548 1840883 1922338 2008236 2883507 3681766 3844676 5522649 5767014 7363532 9873827 11045298 11534028 19747654 22090596 29621481 39495308 59242962 108612097 118485924 217224194 325836291 434448388 651672582 1303345164