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3922240 = 265717103
BaseRepresentation
bin1110111101100101000000
321101021022011
432331211000
52001002430
6220022304
745224050
oct16754500
97337264
103922240
112239923
121391994
13a7436a
14741560
1552722a
hex3bd940

3922240 has 112 divisors (see below), whose sum is σ = 11411712. Its totient is φ = 1253376.

The previous prime is 3922231. The next prime is 3922249. The reversal of 3922240 is 422293.

3922240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3922231) and next prime (3922249).

It is a tau number, because it is divible by the number of its divisors (112).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38029 + ... + 38131.

Almost surely, 23922240 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 3922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705856).

3922240 is an abundant number, since it is smaller than the sum of its proper divisors (7489472).

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

3922240 is a wasteful number, since it uses less digits than its factorization.

3922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3922240 is about 1980.4645919582. The cubic root of 3922240 is about 157.7047308201.

The spelling of 3922240 in words is "three million, nine hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 103 112 119 136 140 160 170 206 224 238 272 280 320 340 412 448 476 515 544 560 595 680 721 824 952 1030 1088 1120 1190 1360 1442 1648 1751 1904 2060 2240 2380 2720 2884 3296 3502 3605 3808 4120 4760 5440 5768 6592 7004 7210 7616 8240 8755 9520 11536 12257 14008 14420 16480 17510 19040 23072 24514 28016 28840 32960 35020 38080 46144 49028 56032 57680 61285 70040 98056 112064 115360 122570 140080 196112 230720 245140 280160 392224 490280 560320 784448 980560 1961120 3922240