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667533312 = 21434503
BaseRepresentation
bin100111110010011…
…100000000000000
31201112002012120000
4213302130000000
52331342031222
6150123320000
722353640155
oct4762340000
91645065500
10667533312
11312894726
12167680000
13a83b2734
146492622c
153d90c9ac
hex27c9c000

667533312 has 150 divisors (see below), whose sum is σ = 1998262728. Its totient is φ = 222068736.

The previous prime is 667533299. The next prime is 667533319. The reversal of 667533312 is 213335766.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667533319) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1326853 + ... + 1327355.

Almost surely, 2667533312 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 667533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999131364).

667533312 is an abundant number, since it is smaller than the sum of its proper divisors (1330729416).

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

667533312 is an frugal number, since it uses more digits than its factorization.

667533312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 508 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 667533312 is about 25836.6660387907. Note that the first 3 decimals coincide. The cubic root of 667533312 is about 873.9588430403.

The spelling of 667533312 in words is "six hundred sixty-seven million, five hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 503 512 576 648 768 864 1006 1024 1152 1296 1509 1536 1728 2012 2048 2304 2592 3018 3072 3456 4024 4096 4527 4608 5184 6036 6144 6912 8048 8192 9054 9216 10368 12072 12288 13581 13824 16096 16384 18108 18432 20736 24144 24576 27162 27648 32192 36216 36864 40743 41472 48288 49152 54324 55296 64384 72432 73728 81486 82944 96576 108648 110592 128768 144864 147456 162972 165888 193152 217296 221184 257536 289728 325944 331776 386304 434592 442368 515072 579456 651888 663552 772608 869184 1030144 1158912 1303776 1327104 1545216 1738368 2060288 2317824 2607552 3090432 3476736 4120576 4635648 5215104 6180864 6953472 8241152 9271296 10430208 12361728 13906944 18542592 20860416 24723456 27813888 37085184 41720832 55627776 74170368 83441664 111255552 166883328 222511104 333766656 667533312