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343895808 = 2831972273
BaseRepresentation
bin10100011111110…
…110111100000000
3212222002201100210
4110133312330000
51201014131213
654042514120
711344031454
oct2437667400
9788081323
10343895808
11167136013
1297205940
1356329959
143395c664
15202d00c3
hex147f6f00

343895808 has 72 divisors (see below), whose sum is σ = 920315088. Its totient is φ = 113999872.

The previous prime is 343895779. The next prime is 343895819. The reversal of 343895808 is 808598343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150160 + ... + 152432.

It is an arithmetic number, because the mean of its divisors is an integer number (12782154).

Almost surely, 2343895808 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 343895808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460157544).

343895808 is an abundant number, since it is smaller than the sum of its proper divisors (576419280).

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

343895808 is a wasteful number, since it uses less digits than its factorization.

343895808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 343895808 is about 18544.4279501957. The cubic root of 343895808 is about 700.6088634513.

The spelling of 343895808 in words is "three hundred forty-three million, eight hundred ninety-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 256 384 394 591 768 788 1182 1576 2273 2364 3152 4546 4728 6304 6819 9092 9456 12608 13638 18184 18912 25216 27276 36368 37824 50432 54552 72736 75648 109104 145472 151296 218208 290944 436416 447781 581888 872832 895562 1343343 1745664 1791124 2686686 3582248 5373372 7164496 10746744 14328992 21493488 28657984 42986976 57315968 85973952 114631936 171947904 343895808