Search a number
-
+
34423440 = 2435197549
BaseRepresentation
bin1000001101010…
…0001010010000
32101202220002020
42003110022100
532303022230
63225451440
7565410612
oct203241220
971686066
1034423440
1118481927
12b640b80
1371934cc
144800db2
15304e810
hex20d4290

34423440 has 80 divisors (see below), whose sum is σ = 112344000. Its totient is φ = 8695296.

The previous prime is 34423429. The next prime is 34423451. The reversal of 34423440 is 4432443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34423429) and next prime (34423451).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34423440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786 + ... + 8334.

It is an arithmetic number, because the mean of its divisors is an integer number (1404300).

Almost surely, 234423440 is an apocalyptic number.

34423440 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 34423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56172000).

34423440 is an abundant number, since it is smaller than the sum of its proper divisors (77920560).

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

34423440 is a wasteful number, since it uses less digits than its factorization.

34423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7584 (or 7578 counting only the distinct ones).

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

The square root of 34423440 is about 5867.1492225782. The cubic root of 34423440 is about 325.3005188767.

Adding to 34423440 its reverse (4432443), we get a palindrome (38855883).

The spelling of 34423440 in words is "thirty-four million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 7549 15098 22647 30196 37745 45294 60392 75490 90588 113235 120784 143431 150980 181176 226470 286862 301960 362352 430293 452940 573724 603920 717155 860586 905880 1147448 1434310 1721172 1811760 2151465 2294896 2868620 3442344 4302930 5737240 6884688 8605860 11474480 17211720 34423440