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34421420 = 22511971613
BaseRepresentation
bin1000001101001…
…1101010101100
32101202210022102
42003103222230
532302441140
63225434232
7565401665
oct203235254
971683272
1034421420
1118480360
12b63b978
137192607
14480036c
15304de15
hex20d3aac

34421420 has 48 divisors (see below), whose sum is σ = 79718688. Its totient is φ = 12380160.

The previous prime is 34421417. The next prime is 34421423. The reversal of 34421420 is 2412443.

It is an interprime number because it is at equal distance from previous prime (34421417) and next prime (34421423).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34421392 and 34421401.

It is not an unprimeable number, because it can be changed into a prime (34421423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20534 + ... + 22146.

It is an arithmetic number, because the mean of its divisors is an integer number (1660806).

Almost surely, 234421420 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 34421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39859344).

34421420 is an abundant number, since it is smaller than the sum of its proper divisors (45297268).

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

34421420 is a wasteful number, since it uses less digits than its factorization.

34421420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 34421420 is about 5866.9770751214. The cubic root of 34421420 is about 325.2941557716.

Adding to 34421420 its reverse (2412443), we get a palindrome (36833863).

The spelling of 34421420 in words is "thirty-four million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1613 1940 2134 3226 4268 5335 6452 8065 10670 16130 17743 21340 32260 35486 70972 88715 156461 177430 312922 354860 625844 782305 1564610 1721071 3129220 3442142 6884284 8605355 17210710 34421420