Search a number
-
+
34124440 = 23571767107
BaseRepresentation
bin1000001000101…
…1001010011000
32101012200221011
42002023022120
532213440230
63215223304
7563024110
oct202131230
971180834
1034124440
1118298219
12b517b34
1370ba39c
144764040
152ee0e2a
hex208b298

34124440 has 128 divisors (see below), whose sum is σ = 95178240. Its totient is φ = 10745856.

The previous prime is 34124417. The next prime is 34124443. The reversal of 34124440 is 4442143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34124443) 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, 318867 + ... + 318973.

It is an arithmetic number, because the mean of its divisors is an integer number (743580).

Almost surely, 234124440 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 34124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47589120).

34124440 is an abundant number, since it is smaller than the sum of its proper divisors (61053800).

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

34124440 is a wasteful number, since it uses less digits than its factorization.

34124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 34124440 is about 5841.6127910022. The cubic root of 34124440 is about 324.3559315617.

Adding to 34124440 its reverse (4442143), we get a palindrome (38566583).

The spelling of 34124440 in words is "thirty-four million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 67 68 70 85 107 119 134 136 140 170 214 238 268 280 335 340 428 469 476 535 536 595 670 680 749 856 938 952 1070 1139 1190 1340 1498 1819 1876 2140 2278 2345 2380 2680 2996 3638 3745 3752 4280 4556 4690 4760 5695 5992 7169 7276 7490 7973 9095 9112 9380 11390 12733 14338 14552 14980 15946 18190 18760 22780 25466 28676 29960 31892 35845 36380 39865 45560 50183 50932 57352 63665 63784 71690 72760 79730 100366 101864 121873 127330 143380 159460 200732 243746 250915 254660 286760 318920 401464 487492 501830 509320 609365 853111 974984 1003660 1218730 1706222 2007320 2437460 3412444 4265555 4874920 6824888 8531110 17062220 34124440