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4364640 = 253257433
BaseRepresentation
bin10000101001100101100000
322012202011100
4100221211200
52104132030
6233314400
752045620
oct20514540
98182140
104364640
112511245
121565a00
13b9a837
14818880
155b3360
hex429960

4364640 has 144 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 995328.

The previous prime is 4364621. The next prime is 4364653. The reversal of 4364640 is 464634.

It is a happy number.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 9864 + ... + 10296.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 24364640 is an apocalyptic number.

4364640 is a gapful number since it is divisible by the number (40) 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 4364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

4364640 is an abundant number, since it is smaller than the sum of its proper divisors (12696768).

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

4364640 is a wasteful number, since it uses less digits than its factorization.

4364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4364640 is about 2089.1720848221. The cubic root of 4364640 is about 163.4241153900.

The spelling of 4364640 in words is "four million, three hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 433 480 504 560 630 672 720 840 866 1008 1120 1260 1299 1440 1680 1732 2016 2165 2520 2598 3031 3360 3464 3897 4330 5040 5196 6062 6495 6928 7794 8660 9093 10080 10392 12124 12990 13856 15155 15588 17320 18186 19485 20784 24248 25980 27279 30310 31176 34640 36372 38970 41568 45465 48496 51960 54558 60620 62352 69280 72744 77940 90930 96992 103920 109116 121240 124704 136395 145488 155880 181860 207840 218232 242480 272790 290976 311760 363720 436464 484960 545580 623520 727440 872928 1091160 1454880 2182320 4364640