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434702682 = 2321710913033
BaseRepresentation
bin11001111010010…
…000100101011010
31010021222011222100
4121322100211122
51342240441212
6111045104230
713525624521
oct3172204532
91107864870
10434702682
11203418617
121016b8076
136c0a1c2b
1441a394b8
152826abdc
hex19e9095a

434702682 has 48 divisors (see below), whose sum is σ = 1006485480. Its totient is φ = 135115776.

The previous prime is 434702659. The next prime is 434702701. The reversal of 434702682 is 286207434.

It can be written as a sum of positive squares in 4 ways, for example, as 431849961 + 2852721 = 20781^2 + 1689^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26838 + ... + 39870.

Almost surely, 2434702682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434702682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503242740).

434702682 is an abundant number, since it is smaller than the sum of its proper divisors (571782798).

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

434702682 is a wasteful number, since it uses less digits than its factorization.

434702682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13167 (or 13164 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 434702682 is about 20849.5247427849. The cubic root of 434702682 is about 757.5258194643.

The spelling of 434702682 in words is "four hundred thirty-four million, seven hundred two thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 981 1853 1962 3706 5559 11118 13033 16677 26066 33354 39099 78198 117297 221561 234594 443122 664683 1329366 1420597 1994049 2841194 3988098 4261791 8523582 12785373 24150149 25570746 48300298 72450447 144900894 217351341 434702682