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26340440 = 2357289151
BaseRepresentation
bin110010001111…
…0110001011000
31211120020021212
41210132301120
523220343230
62340322252
7436614200
oct144366130
954506255
1026340440
1113960a65
1289a3388
1355c3379
1436d9400
1524a4895
hex191ec58

26340440 has 96 divisors (see below), whose sum is σ = 70178400. Its totient is φ = 8870400.

The previous prime is 26340437. The next prime is 26340443. The reversal of 26340440 is 4404362.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26340437) and next prime (26340443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26340443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174365 + ... + 174515.

It is an arithmetic number, because the mean of its divisors is an integer number (731025).

Almost surely, 226340440 is an apocalyptic number.

26340440 is a gapful number since it is divisible by the number (20) 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 26340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35089200).

26340440 is an abundant number, since it is smaller than the sum of its proper divisors (43837960).

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

26340440 is a wasteful number, since it uses less digits than its factorization.

26340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 26340440 is about 5132.2938341447. The cubic root of 26340440 is about 297.5370196147.

The spelling of 26340440 in words is "twenty-six million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 89 98 140 151 178 196 245 280 302 356 392 445 490 604 623 712 755 890 980 1057 1208 1246 1510 1780 1960 2114 2492 3020 3115 3560 4228 4361 4984 5285 6040 6230 7399 8456 8722 10570 12460 13439 14798 17444 21140 21805 24920 26878 29596 34888 36995 42280 43610 53756 59192 67195 73990 87220 94073 107512 134390 147980 174440 188146 268780 295960 376292 470365 537560 658511 752584 940730 1317022 1881460 2634044 3292555 3762920 5268088 6585110 13170220 26340440