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3679344 = 243417167
BaseRepresentation
bin1110000010010001110000
320220221010000
432002101300
51420214334
6210510000
743162644
oct16022160
96827100
103679344
112093389
121295300
139ba936
146bac24
154ca299
hex382470

3679344 has 100 divisors (see below), whose sum is σ = 11343024. Its totient is φ = 1147392.

The previous prime is 3679339. The next prime is 3679363. The reversal of 3679344 is 4439763.

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

Its product of digits (54432) is a multiple of the sum of its prime divisors (189).

It is a junction number, because it is equal to n+sod(n) for n = 3679299 and 3679308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21949 + ... + 22115.

Almost surely, 23679344 is an apocalyptic number.

3679344 is a gapful number since it is divisible by the number (34) 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 3679344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671512).

3679344 is an abundant number, since it is smaller than the sum of its proper divisors (7663680).

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

3679344 is a wasteful number, since it uses less digits than its factorization.

3679344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3679344 is about 1918.1616198850. The cubic root of 3679344 is about 154.3796782117.

The spelling of 3679344 in words is "three million, six hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 167 204 216 272 306 324 334 408 432 459 501 612 648 668 816 918 1002 1224 1296 1336 1377 1503 1836 2004 2448 2672 2754 2839 3006 3672 4008 4509 5508 5678 6012 7344 8016 8517 9018 11016 11356 12024 13527 17034 18036 22032 22712 24048 25551 27054 34068 36072 45424 51102 54108 68136 72144 76653 102204 108216 136272 153306 204408 216432 229959 306612 408816 459918 613224 919836 1226448 1839672 3679344