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343411400 = 23526012857
BaseRepresentation
bin10100011110000…
…000101011001000
3212221012002212202
4110132000223020
51200403131100
654024255332
711336643263
oct2436005310
9787162782
10343411400
11166935082
1297011548
13561ba317
1433873cda
15202367d5
hex14780ac8

343411400 has 48 divisors (see below), whose sum is σ = 800039940. Its totient is φ = 137088000.

The previous prime is 343411399. The next prime is 343411427. The reversal of 343411400 is 4114343.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 217208644 + 126202756 = 14738^2 + 11234^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118772 + ... + 121628.

Almost surely, 2343411400 is an apocalyptic number.

It is an amenable number.

343411400 is an abundant number, since it is smaller than the sum of its proper divisors (456628540).

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

343411400 is a wasteful number, since it uses less digits than its factorization.

343411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 343411400 is about 18531.3626050542. The cubic root of 343411400 is about 700.2797521289.

Adding to 343411400 its reverse (4114343), we get a palindrome (347525743).

The spelling of 343411400 in words is "three hundred forty-three million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 601 1202 2404 2857 3005 4808 5714 6010 11428 12020 14285 15025 22856 24040 28570 30050 57140 60100 71425 114280 120200 142850 285700 571400 1717057 3434114 6868228 8585285 13736456 17170570 34341140 42926425 68682280 85852850 171705700 343411400