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434655342 = 233114715569
BaseRepresentation
bin11001111010000…
…101000001101110
31010021212210001000
4121322011001232
51342232432332
6111044101130
713525336512
oct3172050156
91107783030
10434655342
11203395aa0
121016947a6
136c086514
1441a26142
152825bb7c
hex19e8506e

434655342 has 64 divisors (see below), whose sum is σ = 1076198400. Its totient is φ = 128903040.

The previous prime is 434655329. The next prime is 434655367. The reversal of 434655342 is 243556434.

It is a junction number, because it is equal to n+sod(n) for n = 434655297 and 434655306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20134 + ... + 35702.

It is an arithmetic number, because the mean of its divisors is an integer number (16815600).

Almost surely, 2434655342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434655342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538099200).

434655342 is an abundant number, since it is smaller than the sum of its proper divisors (641543058).

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

434655342 is a wasteful number, since it uses less digits than its factorization.

434655342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15638 (or 15632 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 434655342 is about 20848.3894341985. The cubic root of 434655342 is about 757.4983197688.

The spelling of 434655342 in words is "four hundred thirty-four million, six hundred fifty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 846 1034 1269 1551 2538 3102 4653 9306 13959 15569 27918 31138 46707 93414 140121 171259 280242 342518 420363 513777 731743 840726 1027554 1463486 1541331 2195229 3082662 4390458 4623993 6585687 8049173 9247986 13171374 16098346 19757061 24147519 39514122 48295038 72442557 144885114 217327671 434655342