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3444240 = 2435113127
BaseRepresentation
bin1101001000111000010000
320110222121110
431020320100
51340203430
6201453320
741163342
oct15107020
96428543
103444240
111a42788
1211a1240
13937917
14659292
154807b0
hex348e10

3444240 has 80 divisors (see below), whose sum is σ = 10856448. Its totient is φ = 903168.

The previous prime is 3444209. The next prime is 3444247. The reversal of 3444240 is 424443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27057 + ... + 27183.

Almost surely, 23444240 is an apocalyptic number.

3444240 is a gapful number since it is divisible by the number (30) 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 3444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428224).

3444240 is an abundant number, since it is smaller than the sum of its proper divisors (7412208).

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

3444240 is a wasteful number, since it uses less digits than its factorization.

3444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 3444240 is about 1855.8663745001. The cubic root of 3444240 is about 151.0188418515.

Adding to 3444240 its reverse (424443), we get a palindrome (3868683).

The spelling of 3444240 in words is "three million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 127 226 240 254 339 381 452 508 565 635 678 762 904 1016 1130 1270 1356 1524 1695 1808 1905 2032 2260 2540 2712 3048 3390 3810 4520 5080 5424 6096 6780 7620 9040 10160 13560 14351 15240 27120 28702 30480 43053 57404 71755 86106 114808 143510 172212 215265 229616 287020 344424 430530 574040 688848 861060 1148080 1722120 3444240