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34424040 = 23357107383
BaseRepresentation
bin1000001101010…
…0010011101000
32101202220220110
42003110103220
532303032130
63225454320
7565412430
oct203242350
971686813
1034424040
1118482322
12b6413a0
137193871
1448012c0
15304eab0
hex20d44e8

34424040 has 128 divisors (see below), whose sum is σ = 119439360. Its totient is φ = 7774464.

The previous prime is 34424021. The next prime is 34424041. The reversal of 34424040 is 4042443.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34423998 and 34424016.

It is not an unprimeable number, because it can be changed into a prime (34424041) 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, 89689 + ... + 90071.

It is an arithmetic number, because the mean of its divisors is an integer number (933120).

Almost surely, 234424040 is an apocalyptic number.

34424040 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 34424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59719680).

34424040 is an abundant number, since it is smaller than the sum of its proper divisors (85015320).

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

34424040 is a wasteful number, since it uses less digits than its factorization.

34424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

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

The square root of 34424040 is about 5867.2003545132. The cubic root of 34424040 is about 325.3024088600.

Adding to 34424040 its reverse (4042443), we get a palindrome (38466483).

The spelling of 34424040 in words is "thirty-four million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 107 120 140 168 210 214 280 321 383 420 428 535 642 749 766 840 856 1070 1149 1284 1498 1532 1605 1915 2140 2247 2298 2568 2681 2996 3064 3210 3745 3830 4280 4494 4596 5362 5745 5992 6420 7490 7660 8043 8988 9192 10724 11235 11490 12840 13405 14980 15320 16086 17976 21448 22470 22980 26810 29960 32172 40215 40981 44940 45960 53620 64344 80430 81962 89880 107240 122943 160860 163924 204905 245886 286867 321720 327848 409810 491772 573734 614715 819620 860601 983544 1147468 1229430 1434335 1639240 1721202 2294936 2458860 2868670 3442404 4303005 4917720 5737340 6884808 8606010 11474680 17212020 34424040