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343430100 = 22325213149197
BaseRepresentation
bin10100011110000…
…101001111010100
3212221020001112100
4110132011033110
51200404230400
654024522100
711340051636
oct2436051724
9787201470
10343430100
11166948132
1297020330
13561c59a0
143387aa56
152023c100
hex147853d4

343430100 has 216 divisors, whose sum is σ = 1172971800. Its totient is φ = 83543040.

The previous prime is 343430099. The next prime is 343430137. The reversal of 343430100 is 1034343.

343430100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 118069956 + 225360144 = 10866^2 + 15012^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1743202 + ... + 1743398.

It is an arithmetic number, because the mean of its divisors is an integer number (5430425).

Almost surely, 2343430100 is an apocalyptic number.

343430100 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 343430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586485900).

343430100 is an abundant number, since it is smaller than the sum of its proper divisors (829541700).

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

343430100 is a wasteful number, since it uses less digits than its factorization.

343430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 343430100 is about 18531.8671482395. The cubic root of 343430100 is about 700.2924628248.

Adding to 343430100 its reverse (1034343), we get a palindrome (344464443).

The spelling of 343430100 in words is "three hundred forty-three million, four hundred thirty thousand, one hundred".