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34344420 = 223511173061
BaseRepresentation
bin1000001100000…
…0110111100100
32101121212200120
42003000313210
532243010140
63224041540
7564631335
oct203006744
971555616
1034344420
1118428520
12b6032b0
137166556
1447c028c
1530361d0
hex20c0de4

34344420 has 96 divisors (see below), whose sum is σ = 111113856. Its totient is φ = 7833600.

The previous prime is 34344413. The next prime is 34344449. The reversal of 34344420 is 2444343.

It is a happy 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, 9690 + ... + 12750.

It is an arithmetic number, because the mean of its divisors is an integer number (1157436).

Almost surely, 234344420 is an apocalyptic number.

34344420 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 34344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55556928).

34344420 is an abundant number, since it is smaller than the sum of its proper divisors (76769436).

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

34344420 is a wasteful number, since it uses less digits than its factorization.

34344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 34344420 is about 5860.4112483682. The cubic root of 34344420 is about 325.0514159285.

Adding to 34344420 its reverse (2444343), we get a palindrome (36788763).

The spelling of 34344420 in words is "thirty-four million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3061 3740 5610 6122 9183 11220 12244 15305 18366 30610 33671 36732 45915 52037 61220 67342 91830 101013 104074 134684 156111 168355 183660 202026 208148 260185 312222 336710 404052 505065 520370 572407 624444 673420 780555 1010130 1040740 1144814 1561110 1717221 2020260 2289628 2862035 3122220 3434442 5724070 6868884 8586105 11448140 17172210 34344420