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343408428 = 2232111515743
BaseRepresentation
bin10100011101111…
…111111100101100
3212221011221210200
4110131333330230
51200403032203
654024233500
711336631516
oct2435777454
9787157720
10343408428
11166932920
129700b890
13561b8b6c
1433872bb6
15202359a3
hex1477ff2c

343408428 has 72 divisors (see below), whose sum is σ = 953412096. Its totient is φ = 103356000.

The previous prime is 343408427. The next prime is 343408441. The reversal of 343408428 is 824804343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 343408392 and 343408401.

It is not an unprimeable number, because it can be changed into a prime (343408427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56925 + ... + 62667.

Almost surely, 2343408428 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 343408428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476706048).

343408428 is an abundant number, since it is smaller than the sum of its proper divisors (610003668).

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

343408428 is a wasteful number, since it uses less digits than its factorization.

343408428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 343408428 is about 18531.2824164978. The cubic root of 343408428 is about 700.2777319694.

The spelling of 343408428 in words is "three hundred forty-three million, four hundred eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 151 198 302 396 453 604 906 1359 1661 1812 2718 3322 4983 5436 5743 6644 9966 11486 14949 17229 19932 22972 29898 34458 51687 59796 63173 68916 103374 126346 189519 206748 252692 379038 568557 758076 867193 1137114 1734386 2274228 2601579 3468772 5203158 7804737 9539123 10406316 15609474 19078246 28617369 31218948 38156492 57234738 85852107 114469476 171704214 343408428