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344233940 = 225375367131
BaseRepresentation
bin10100100001001…
…001011111010100
3212222201220012012
4110201021133110
51201110441230
654054043352
711346640331
oct2441113724
9788656165
10344233940
11167347066
1297349558
135641782b
1433a09988
152034a395
hex148497d4

344233940 has 96 divisors (see below), whose sum is σ = 773587584. Its totient is φ = 128494080.

The previous prime is 344233937. The next prime is 344233943. The reversal of 344233940 is 49332443.

It is an interprime number because it is at equal distance from previous prime (344233937) and next prime (344233943).

It is a junction number, because it is equal to n+sod(n) for n = 344233897 and 344233906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344233943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2627675 + ... + 2627805.

It is an arithmetic number, because the mean of its divisors is an integer number (8058204).

Almost surely, 2344233940 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 344233940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386793792).

344233940 is an abundant number, since it is smaller than the sum of its proper divisors (429353644).

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

344233940 is a wasteful number, since it uses less digits than its factorization.

344233940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 344233940 is about 18553.5425188830. The cubic root of 344233940 is about 700.8384103766.

The spelling of 344233940 in words is "three hundred forty-four million, two hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 53 67 74 106 131 134 148 185 212 262 265 268 335 370 524 530 655 670 740 1060 1310 1340 1961 2479 2620 3551 3922 4847 4958 6943 7102 7844 8777 9694 9805 9916 12395 13886 14204 17554 17755 19388 19610 24235 24790 27772 34715 35108 35510 39220 43885 48470 49580 69430 71020 87770 96940 131387 138860 175540 256891 262774 324749 465181 513782 525548 649498 656935 930362 1027564 1284455 1298996 1313870 1623745 1860724 2325905 2568910 2627740 3247490 4651810 5137820 6494980 9303620 17211697 34423394 68846788 86058485 172116970 344233940