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660377344 = 2811221319
BaseRepresentation
bin100111010111001…
…000111100000000
31201000121122102011
4213113020330000
52323024033334
6145310102304
722236054244
oct4727107400
91630548364
10660377344
11309847300
121651aa994
13a6a78533
14639c2424
153ce97564
hex275c8f00

660377344 has 54 divisors (see below), whose sum is σ = 1448971160. Its totient is φ = 300157440.

The previous prime is 660377329. The next prime is 660377351. The reversal of 660377344 is 443773066.

It is a junction number, because it is equal to n+sod(n) for n = 660377297 and 660377306.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 20317 + ... + 41635.

Almost surely, 2660377344 is an apocalyptic number.

660377344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724485580).

660377344 is an abundant number, since it is smaller than the sum of its proper divisors (788593816).

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

660377344 is a wasteful number, since it uses less digits than its factorization.

660377344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21357 (or 21332 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The square root of 660377344 is about 25697.8081555607. The cubic root of 660377344 is about 870.8246657186.

The spelling of 660377344 in words is "six hundred sixty million, three hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 21319 30976 42638 85276 170552 234509 341104 469018 682208 938036 1364416 1876072 2579599 2728832 3752144 5159198 5457664 7504288 10318396 15008576 20636792 30017152 41273584 60034304 82547168 165094336 330188672 660377344