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4289340 = 2235116797
BaseRepresentation
bin10000010111001100111100
322001220212110
4100113030330
52044224330
6231534020
751313236
oct20271474
98056773
104289340
11246a710
12152a310
13b72493
147d9256
1559adb0
hex41733c

4289340 has 96 divisors (see below), whose sum is σ = 13434624. Its totient is φ = 1013760.

The previous prime is 4289317. The next prime is 4289347. The reversal of 4289340 is 439824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 45 + 215 + 8 + 95 + 37 + 411 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4289298 and 4289307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4289347) 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 31 ways as a sum of consecutive naturals, for example, 44172 + ... + 44268.

It is an arithmetic number, because the mean of its divisors is an integer number (139944).

Almost surely, 24289340 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 4289340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717312).

4289340 is an abundant number, since it is smaller than the sum of its proper divisors (9145284).

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

4289340 is a wasteful number, since it uses less digits than its factorization.

4289340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4289340 is about 2071.0721860911. The cubic root of 4289340 is about 162.4788453724.

The spelling of 4289340 in words is "four million, two hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 97 110 132 134 165 194 201 220 268 291 330 335 388 402 485 582 660 670 737 804 970 1005 1067 1164 1340 1455 1474 1940 2010 2134 2211 2910 2948 3201 3685 4020 4268 4422 5335 5820 6402 6499 7370 8844 10670 11055 12804 12998 14740 16005 19497 21340 22110 25996 32010 32495 38994 44220 64020 64990 71489 77988 97485 129980 142978 194970 214467 285956 357445 389940 428934 714890 857868 1072335 1429780 2144670 4289340