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34423500 = 2235353433
BaseRepresentation
bin1000001101010…
…0001011001100
32101202220011110
42003110023030
532303023000
63225452020
7565411026
oct203241314
971686143
1034423500
1118481981
12b641010
137193547
144801016
15304e850
hex20d42cc

34423500 has 96 divisors (see below), whose sum is σ = 102368448. Its totient is φ = 8985600.

The previous prime is 34423471. The next prime is 34423507. The reversal of 34423500 is 532443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34423507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79284 + ... + 79716.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 234423500 is an apocalyptic number.

34423500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34423500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51184224).

34423500 is an abundant number, since it is smaller than the sum of its proper divisors (67944948).

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

34423500 is a wasteful number, since it uses less digits than its factorization.

34423500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34423500 is about 5867.1543357918. The cubic root of 34423500 is about 325.3007078760.

Adding to 34423500 its reverse (532443), we get a palindrome (34955943).

The spelling of 34423500 in words is "thirty-four million, four hundred twenty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 125 150 159 212 250 265 300 318 375 433 500 530 636 750 795 866 1060 1299 1325 1500 1590 1732 2165 2598 2650 3180 3975 4330 5196 5300 6495 6625 7950 8660 10825 12990 13250 15900 19875 21650 22949 25980 26500 32475 39750 43300 45898 54125 64950 68847 79500 91796 108250 114745 129900 137694 162375 216500 229490 275388 324750 344235 458980 573725 649500 688470 1147450 1376940 1721175 2294900 2868625 3442350 5737250 6884700 8605875 11474500 17211750 34423500