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434141372 = 2272107127163
BaseRepresentation
bin11001111000000…
…111100010111100
31010020220200000002
4121320013202330
51342120010442
6111025053432
713521066200
oct3170074274
91106820002
10434141372
11203074925
12101487278
136bc365b2
1441930b00
15281a9732
hex19e078bc

434141372 has 72 divisors (see below), whose sum is σ = 904587264. Its totient is φ = 181748448.

The previous prime is 434141371. The next prime is 434141381. The reversal of 434141372 is 273141434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434141371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2663363 + ... + 2663525.

It is an arithmetic number, because the mean of its divisors is an integer number (12563712).

Almost surely, 2434141372 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 434141372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452293632).

434141372 is an abundant number, since it is smaller than the sum of its proper divisors (470445892).

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

434141372 is a wasteful number, since it uses less digits than its factorization.

434141372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 434141372 is about 20836.0594163100. The cubic root of 434141372 is about 757.1996271932.

The spelling of 434141372 in words is "four hundred thirty-four million, one hundred forty-one thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 107 127 163 196 214 254 326 428 508 652 749 889 1141 1498 1778 2282 2996 3556 4564 5243 6223 7987 10486 12446 13589 15974 17441 20701 20972 24892 27178 31948 34882 41402 54356 69764 82804 95123 122087 144907 190246 244174 289814 380492 488348 579628 665861 854609 1014349 1331722 1709218 2028698 2215007 2663444 3418436 4057396 4430014 8860028 15505049 31010098 62020196 108535343 217070686 434141372