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3679312 = 247213192
BaseRepresentation
bin1110000010010001010000
320220221001211
432002101100
51420214222
6210505504
743162600
oct16022120
96827054
103679312
11209335a
121295294
139ba910
146bac00
154ca277
hex382450

3679312 has 90 divisors (see below), whose sum is σ = 9425178. Its totient is φ = 1378944.

The previous prime is 3679309. The next prime is 3679339. The reversal of 3679312 is 2139763.

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 1132096 = 1596^2 + 1064^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 193639 + ... + 193657.

Almost surely, 23679312 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 3679312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712589).

3679312 is an abundant number, since it is smaller than the sum of its proper divisors (5745866).

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

3679312 is a wasteful number, since it uses less digits than its factorization.

3679312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its digits is 6804, while the sum is 31.

The square root of 3679312 is about 1918.1532785468. The cubic root of 3679312 is about 154.3792306533.

The spelling of 3679312 in words is "three million, six hundred seventy-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 49 52 56 76 91 98 104 112 133 152 182 196 208 247 266 304 361 364 392 494 532 637 722 728 784 931 988 1064 1274 1444 1456 1729 1862 1976 2128 2527 2548 2888 3458 3724 3952 4693 5054 5096 5776 6916 7448 9386 10108 10192 12103 13832 14896 17689 18772 20216 24206 27664 32851 35378 37544 40432 48412 65702 70756 75088 96824 131404 141512 193648 229957 262808 283024 459914 525616 919828 1839656 3679312