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1350329568 = 253710311949
BaseRepresentation
bin101000001111100…
…0110010011100000
310111002212211221020
41100133012103200
510231141021233
6341554125440
745314416620
oct12037062340
93432784836
101350329568
11633253655
12318280880
131869aa3a3
14cb4a2880
157d8329b3
hex507c64e0

1350329568 has 96 divisors (see below), whose sum is σ = 4056998400. Its totient is φ = 385236480.

The previous prime is 1350329557. The next prime is 1350329569. The reversal of 1350329568 is 8659230531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350329569) 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 15 ways as a sum of consecutive naturals, for example, 691858 + ... + 693806.

It is an arithmetic number, because the mean of its divisors is an integer number (42260400).

Almost surely, 21350329568 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 1350329568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028499200).

1350329568 is an abundant number, since it is smaller than the sum of its proper divisors (2706668832).

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

1350329568 is a wasteful number, since it uses less digits than its factorization.

1350329568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 1350329568 is about 36746.8307204853. The cubic root of 1350329568 is about 1105.2993784889.

It can be divided in two parts, 13503 and 29568, that added together give a triangular number (43071 = T293).

The spelling of 1350329568 in words is "one billion, three hundred fifty million, three hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1031 1949 2062 3093 3898 4124 5847 6186 7217 7796 8248 11694 12372 13643 14434 15592 16496 21651 23388 24744 27286 28868 31184 32992 40929 43302 46776 49488 54572 57736 62368 81858 86604 93552 98976 109144 115472 163716 173208 187104 218288 230944 327432 346416 436576 654864 692832 1309728 2009419 4018838 6028257 8037676 12056514 14065933 16075352 24113028 28131866 32150704 42197799 48226056 56263732 64301408 84395598 96452112 112527464 168791196 192904224 225054928 337582392 450109856 675164784 1350329568