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434018088 = 23347213669
BaseRepresentation
bin11001110111101…
…001011100101000
31010020200101220000
4121313221130220
51342102034323
6111022303000
713520043600
oct3167513450
91106611800
10434018088
11202aa0239
12101427a60
136bbc244a
14418dbc00
1528182e43
hex19de9728

434018088 has 120 divisors (see below), whose sum is σ = 1414229850. Its totient is φ = 123996096.

The previous prime is 434018071. The next prime is 434018107. The reversal of 434018088 is 880810434.

It can be written as a sum of positive squares in only one way, i.e., 324648324 + 109369764 = 18018^2 + 10458^2 .

It is a super-2 number, since 2×4340180882 = 376743401422351488, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24918 + ... + 38586.

Almost surely, 2434018088 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 434018088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707114925).

434018088 is an abundant number, since it is smaller than the sum of its proper divisors (980211762).

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

434018088 is a wasteful number, since it uses less digits than its factorization.

434018088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13701 (or 13681 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 434018088 is about 20833.1007773687. The cubic root of 434018088 is about 757.1279459065.

The spelling of 434018088 in words is "four hundred thirty-four million, eighteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 13669 15876 27338 31752 41007 54676 82014 95683 109352 123021 164028 191366 246042 287049 328056 369063 382732 492084 574098 669781 738126 765464 861147 984168 1107189 1148196 1339562 1476252 1722294 2009343 2214378 2296392 2583441 2679124 2952504 3444588 4018686 4428756 5166882 5358248 6028029 6889176 7750323 8037372 8857512 10333764 12056058 15500646 16074744 18084087 20667528 24112116 31001292 36168174 48224232 54252261 62002584 72336348 108504522 144672696 217009044 434018088