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34412420 = 22571719761
BaseRepresentation
bin1000001101000…
…1011110000100
32101202022222002
42003101132010
532302144140
63225324432
7565333520
oct203213604
971668862
1034412420
1118474619
12b636718
13718b4a3
1447dad80
15304b415
hex20d1784

34412420 has 96 divisors (see below), whose sum is σ = 92171520. Its totient is φ = 10506240.

The previous prime is 34412353. The next prime is 34412429. The reversal of 34412420 is 2421443.

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 = 34412392 and 34412401.

It is not an unprimeable number, because it can be changed into a prime (34412429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44840 + ... + 45600.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 234412420 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 34412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

34412420 is an abundant number, since it is smaller than the sum of its proper divisors (57759100).

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

34412420 is a wasteful number, since it uses less digits than its factorization.

34412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 811 counting only the distinct ones).

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

The square root of 34412420 is about 5866.2100201067. The cubic root of 34412420 is about 325.2658022774.

Adding to 34412420 its reverse (2421443), we get a palindrome (36833863).

The spelling of 34412420 in words is "thirty-four million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 68 70 76 85 95 119 133 140 170 190 238 266 323 340 380 476 532 595 646 665 761 1190 1292 1330 1522 1615 2261 2380 2660 3044 3230 3805 4522 5327 6460 7610 9044 10654 11305 12937 14459 15220 21308 22610 25874 26635 28918 45220 51748 53270 57836 64685 72295 90559 101213 106540 129370 144590 181118 202426 245803 258740 289180 362236 404852 452795 491606 506065 905590 983212 1012130 1229015 1720621 1811180 2024260 2458030 3441242 4916060 6882484 8603105 17206210 34412420