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344321340 = 2235113116829
BaseRepresentation
bin10100100001011…
…110110100111100
3212222220100002020
4110201132310330
51201121240330
654100000140
711350453206
oct2441366474
9788810066
10344321340
111673a67a0
1297390050
135644854c
1433a2d776
1520366210
hex1485ed3c

344321340 has 96 divisors (see below), whose sum is σ = 1085736960. Its totient is φ = 80774400.

The previous prime is 344321311. The next prime is 344321347. The reversal of 344321340 is 43123443.

It is a self number, because there is not a number n which added to its sum of digits gives 344321340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344321347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12046 + ... + 28874.

It is an arithmetic number, because the mean of its divisors is an integer number (11309760).

Almost surely, 2344321340 is an apocalyptic number.

344321340 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 344321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542868480).

344321340 is an abundant number, since it is smaller than the sum of its proper divisors (741415620).

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

344321340 is a wasteful number, since it uses less digits than its factorization.

344321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16883 (or 16881 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 344321340 is about 18555.8977147429. The cubic root of 344321340 is about 700.8977189714.

Adding to 344321340 its reverse (43123443), we get a palindrome (387444783).

The spelling of 344321340 in words is "three hundred forty-four million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 16829 20460 33658 50487 67316 84145 100974 168290 185119 201948 252435 336580 370238 504870 521699 555357 740476 925595 1009740 1043398 1110714 1565097 1851190 2086796 2221428 2608495 2776785 3130194 3702380 5216990 5553570 5738689 6260388 7825485 10433980 11107140 11477378 15650970 17216067 22954756 28693445 31301940 34432134 57386890 68864268 86080335 114773780 172160670 344321340