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669661344 = 2535117829
BaseRepresentation
bin100111111010100…
…011100010100000
31201200002022200000
4213322203202200
52332413130334
6150241100000
722411012302
oct4772434240
91650068600
10669661344
11314008530
12168327600
13a8979221
1464d1b972
153dbcd299
hex27ea38a0

669661344 has 144 divisors (see below), whose sum is σ = 2154690720. Its totient is φ = 202901760.

The previous prime is 669661283. The next prime is 669661357. The reversal of 669661344 is 443166966.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 669661344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81622 + ... + 89450.

It is an arithmetic number, because the mean of its divisors is an integer number (14963130).

Almost surely, 2669661344 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 669661344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077345360).

669661344 is an abundant number, since it is smaller than the sum of its proper divisors (1485029376).

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

669661344 is a wasteful number, since it uses less digits than its factorization.

669661344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7865 (or 7845 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 669661344 is about 25877.8156728886. The cubic root of 669661344 is about 874.8865568302.

The spelling of 669661344 in words is "six hundred sixty-nine million, six hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 3168 3564 3888 4752 5346 7128 7776 7829 9504 10692 14256 15658 21384 23487 28512 31316 42768 46974 62632 70461 85536 86119 93948 125264 140922 172238 187896 211383 250528 258357 281844 344476 375792 422766 516714 563688 634149 688952 751584 775071 845532 1033428 1127376 1268298 1377904 1550142 1691064 1902447 2066856 2254752 2325213 2536596 2755808 3100284 3382128 3804894 4133712 4650426 5073192 6200568 6764256 6975639 7609788 8267424 9300852 10146384 12401136 13951278 15219576 18601704 20292768 20926917 24802272 27902556 30439152 37203408 41853834 55805112 60878304 74406816 83707668 111610224 167415336 223220448 334830672 669661344