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1664389344 = 25329678923
BaseRepresentation
bin110001100110100…
…1001000011100000
311021222211201221210
41203031021003200
511402040424334
6433053350120
756150035032
oct14315110340
94258751853
101664389344
11784560392
123a5498340
13206a8b887
1411b095c52
159b1bc5e9
hex633490e0

1664389344 has 96 divisors (see below), whose sum is σ = 4587649920. Its totient is φ = 527611392.

The previous prime is 1664389339. The next prime is 1664389357. The reversal of 1664389344 is 4439834661.

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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 1664389293 and 1664389302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182067 + ... + 190989.

It is an arithmetic number, because the mean of its divisors is an integer number (47788020).

Almost surely, 21664389344 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 1664389344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293824960).

1664389344 is an abundant number, since it is smaller than the sum of its proper divisors (2923260576).

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

1664389344 is a wasteful number, since it uses less digits than its factorization.

1664389344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9032 (or 9024 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 1664389344 is about 40796.9281196514. The cubic root of 1664389344 is about 1185.0908424367.

The spelling of 1664389344 in words is "one billion, six hundred sixty-four million, three hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 67 87 96 116 134 174 201 232 268 348 402 464 536 696 804 928 1072 1392 1608 1943 2144 2784 3216 3886 5829 6432 7772 8923 11658 15544 17846 23316 26769 31088 35692 46632 53538 62176 71384 93264 107076 142768 186528 214152 258767 285536 428304 517534 597841 776301 856608 1035068 1195682 1552602 1793523 2070136 2391364 3105204 3587046 4140272 4782728 6210408 7174092 8280544 9565456 12420816 14348184 17337389 19130912 24841632 28696368 34674778 52012167 57392736 69349556 104024334 138699112 208048668 277398224 416097336 554796448 832194672 1664389344