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434602112 = 2772321089
BaseRepresentation
bin11001111001111…
…000000010000000
31010021210002000112
4121321320002000
51342224231422
6111043010452
713525025360
oct3171700200
91107702015
10434602112
11203359aaa
12101669a28
136c068219
1441a109a0
152824aee2
hex19e78080

434602112 has 64 divisors (see below), whose sum is σ = 1032566400. Its totient is φ = 178151424.

The previous prime is 434602087. The next prime is 434602121. The reversal of 434602112 is 211206434.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10064 + ... + 31152.

It is an arithmetic number, because the mean of its divisors is an integer number (16133850).

Almost surely, 2434602112 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 434602112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516283200).

434602112 is an abundant number, since it is smaller than the sum of its proper divisors (597964288).

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

434602112 is a wasteful number, since it uses less digits than its factorization.

434602112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21133 (or 21121 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 434602112 is about 20847.1127976993. The cubic root of 434602112 is about 757.4673962012.

Adding to 434602112 its reverse (211206434), we get a palindrome (645808546).

The spelling of 434602112 in words is "four hundred thirty-four million, six hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 10304 20608 21089 42178 84356 147623 168712 295246 337424 485047 590492 674848 970094 1180984 1349696 1940188 2361968 2699392 3395329 3880376 4723936 6790658 7760752 9447872 13581316 15521504 18895744 27162632 31043008 54325264 62086016 108650528 217301056 434602112