Search a number
-
+
34422420 = 22352973271
BaseRepresentation
bin1000001101001…
…1111010010100
32101202211200110
42003103322110
532303004140
63225443020
7565404624
oct203237224
971684613
1034422420
111848108a
12b640470
137192bc6
144800884
15304e380
hex20d3e94

34422420 has 96 divisors (see below), whose sum is σ = 101445120. Its totient is φ = 8709120.

The previous prime is 34422419. The next prime is 34422457. The reversal of 34422420 is 2422443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126885 + ... + 127155.

It is an arithmetic number, because the mean of its divisors is an integer number (1056720).

Almost surely, 234422420 is an apocalyptic number.

34422420 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 34422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50722560).

34422420 is an abundant number, since it is smaller than the sum of its proper divisors (67022700).

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

34422420 is a wasteful number, since it uses less digits than its factorization.

34422420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 34422420 is about 5867.0622972660. The cubic root of 34422420 is about 325.2973058547.

Adding to 34422420 its reverse (2422443), we get a palindrome (36844863).

The spelling of 34422420 in words is "thirty-four million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 73 87 116 145 146 174 219 271 290 292 348 365 435 438 542 580 730 813 870 876 1084 1095 1355 1460 1626 1740 2117 2190 2710 3252 4065 4234 4380 5420 6351 7859 8130 8468 10585 12702 15718 16260 19783 21170 23577 25404 31436 31755 39295 39566 42340 47154 59349 63510 78590 79132 94308 98915 117885 118698 127020 157180 197830 235770 237396 296745 395660 471540 573707 593490 1147414 1186980 1721121 2294828 2868535 3442242 5737070 6884484 8605605 11474140 17211210 34422420