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344012240 = 245111330071
BaseRepresentation
bin10100100000010…
…011010111010000
3212222022122002002
4110200103113100
51201031342430
654045213132
711345025065
oct2440232720
9788278062
10344012240
11167205540
12972611a8
135636a950
143398cc6c
1520304845
hex148135d0

344012240 has 80 divisors (see below), whose sum is σ = 939689856. Its totient is φ = 115468800.

The previous prime is 344012213. The next prime is 344012257. The reversal of 344012240 is 42210443.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 3596 + ... + 26475.

Almost surely, 2344012240 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 344012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469844928).

344012240 is an abundant number, since it is smaller than the sum of its proper divisors (595677616).

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

344012240 is a wasteful number, since it uses less digits than its factorization.

344012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30108 (or 30102 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 344012240 is about 18547.5669563423. The cubic root of 344012240 is about 700.6879223649.

Adding to 344012240 its reverse (42210443), we get a palindrome (386222683).

The spelling of 344012240 in words is "three hundred forty-four million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 30071 60142 120284 150355 240568 300710 330781 390923 481136 601420 661562 781846 1202840 1323124 1563692 1653905 1954615 2405680 2646248 3127384 3307810 3909230 4300153 5292496 6254768 6615620 7818460 8600306 13231240 15636920 17200612 21500765 26462480 31273840 34401224 43001530 68802448 86003060 172006120 344012240