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343608896 = 26173131009
BaseRepresentation
bin10100011110110…
…000111001000000
3212221120010210102
4110132300321000
51200430441041
654032421532
711341425131
oct2436607100
9787503712
10343608896
11166a5a4a4
12970a78a8
1356259197
14338c5c88
152027509b
hex147b0e40

343608896 has 56 divisors (see below), whose sum is σ = 724982040. Its totient is φ = 161021952.

The previous prime is 343608893. The next prime is 343608917. The reversal of 343608896 is 698806343.

It can be written as a sum of positive squares in 4 ways, for example, as 2689600 + 340919296 = 1640^2 + 18464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 343608896.

It is not an unprimeable number, because it can be changed into a prime (343608893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340040 + ... + 341048.

Almost surely, 2343608896 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 343608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362491020).

343608896 is an abundant number, since it is smaller than the sum of its proper divisors (381373144).

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

343608896 is a wasteful number, since it uses less digits than its factorization.

343608896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The square root of 343608896 is about 18536.6905352601. The cubic root of 343608896 is about 700.4139701017.

The spelling of 343608896 in words is "three hundred forty-three million, six hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 313 544 626 1009 1088 1252 2018 2504 4036 5008 5321 8072 10016 10642 16144 17153 20032 21284 32288 34306 42568 64576 68612 85136 137224 170272 274448 315817 340544 548896 631634 1097792 1263268 2526536 5053072 5368889 10106144 10737778 20212288 21475556 42951112 85902224 171804448 343608896