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34351420 = 22523531409
BaseRepresentation
bin1000001100001…
…0100100111100
32101122020021211
42003002210330
532243221140
63224134204
7564660625
oct203024474
971566254
1034351420
1118432804
12b607364
1371697ac
1447c2a4c
1530382ea
hex20c293c

34351420 has 48 divisors (see below), whose sum is σ = 76749120. Its totient is φ = 12886016.

The previous prime is 34351409. The next prime is 34351439. The reversal of 34351420 is 2415343.

It is a junction number, because it is equal to n+sod(n) for n = 34351391 and 34351400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23676 + ... + 25084.

It is an arithmetic number, because the mean of its divisors is an integer number (1598940).

Almost surely, 234351420 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 34351420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38374560).

34351420 is an abundant number, since it is smaller than the sum of its proper divisors (42397700).

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

34351420 is a wasteful number, since it uses less digits than its factorization.

34351420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 34351420 is about 5861.0084456517. The cubic root of 34351420 is about 325.0734981702.

Adding to 34351420 its reverse (2415343), we get a palindrome (36766763).

The spelling of 34351420 in words is "thirty-four million, three hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 212 230 265 460 530 1060 1219 1409 2438 2818 4876 5636 6095 7045 12190 14090 24380 28180 32407 64814 74677 129628 149354 162035 298708 324070 373385 648140 746770 1493540 1717571 3435142 6870284 8587855 17175710 34351420