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343354432 = 2629184997
BaseRepresentation
bin10100011101110…
…010110001000000
3212221002012201211
4110131302301000
51200344320212
654023135504
711336315221
oct2435626100
9787065654
10343354432
111668a62a3
1296ba4594
135619a405
143385b248
15202249a7
hex14772c40

343354432 has 28 divisors (see below), whose sum is σ = 704842380. Its totient is φ = 165756416.

The previous prime is 343354409. The next prime is 343354433. The reversal of 343354432 is 234453343.

It can be written as a sum of positive squares in 2 ways, for example, as 81432576 + 261921856 = 9024^2 + 16184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 343354394 and 343354403.

It is not an unprimeable number, because it can be changed into a prime (343354433) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90643 + ... + 94354.

Almost surely, 2343354432 is an apocalyptic number.

343354432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

343354432 is an abundant number, since it is smaller than the sum of its proper divisors (361487948).

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

343354432 is a wasteful number, since it uses less digits than its factorization.

343354432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185038 (or 185028 counting only the distinct ones).

The product of its digits is 51840, while the sum is 31.

The square root of 343354432 is about 18529.8254713853. The cubic root of 343354432 is about 700.2410272030.

The spelling of 343354432 in words is "three hundred forty-three million, three hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 184997 369994 739988 1479976 2959952 5364913 5919904 10729826 11839808 21459652 42919304 85838608 171677216 343354432