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343404200 = 235283137151
BaseRepresentation
bin10100011101111…
…110111010101000
3212221011202000002
4110131332322220
51200402413300
654024202132
711336613266
oct2435767250
9787152002
10343404200
1116692a727
1297009348
13561b6c69
1433871436
15202345d5
hex1477eea8

343404200 has 96 divisors (see below), whose sum is σ = 819322560. Its totient is φ = 133824000.

The previous prime is 343404181. The next prime is 343404203. The reversal of 343404200 is 2404343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (343404203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2274125 + ... + 2274275.

It is an arithmetic number, because the mean of its divisors is an integer number (8534610).

Almost surely, 2343404200 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 343404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409661280).

343404200 is an abundant number, since it is smaller than the sum of its proper divisors (475918360).

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

343404200 is a wasteful number, since it uses less digits than its factorization.

343404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 343404200 is about 18531.1683387745. The cubic root of 343404200 is about 700.2748580481.

Adding to 343404200 its reverse (2404343), we get a palindrome (345808543).

The spelling of 343404200 in words is "three hundred forty-three million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 137 151 166 200 274 302 332 415 548 604 664 685 755 830 1096 1208 1370 1510 1660 2075 2740 3020 3320 3425 3775 4150 5480 6040 6850 7550 8300 11371 12533 13700 15100 16600 20687 22742 25066 27400 30200 41374 45484 50132 56855 62665 82748 90968 100264 103435 113710 125330 165496 206870 227420 250660 284275 313325 413740 454840 501320 517175 568550 626650 827480 1034350 1137100 1253300 1717021 2068700 2274200 2506600 3434042 4137400 6868084 8585105 13736168 17170210 34340420 42925525 68680840 85851050 171702100 343404200