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34621420 = 22519312939
BaseRepresentation
bin1000010000010…
…0011111101100
32102010221122211
42010010133230
532330341140
63234020204
7600164041
oct204043754
972127584
1034621420
11185a7649
12b717664
137232662
1448531c8
15308d2ea
hex21047ec

34621420 has 48 divisors (see below), whose sum is σ = 79027200. Its totient is φ = 12692160.

The previous prime is 34621409. The next prime is 34621421. The reversal of 34621420 is 2412643.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34621391 and 34621400.

It is not an unprimeable number, because it can be changed into a prime (34621421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10311 + ... + 13249.

It is an arithmetic number, because the mean of its divisors is an integer number (1646400).

Almost surely, 234621420 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 34621420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39513600).

34621420 is an abundant number, since it is smaller than the sum of its proper divisors (44405780).

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

34621420 is a wasteful number, since it uses less digits than its factorization.

34621420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 34621420 is about 5883.9969408558. The cubic root of 34621420 is about 325.9229622122.

The spelling of 34621420 in words is "thirty-four million, six hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2939 2945 5878 5890 11756 11780 14695 29390 55841 58780 91109 111682 182218 223364 279205 364436 455545 558410 911090 1116820 1731071 1822180 3462142 6924284 8655355 17310710 34621420