Search a number
-
+
34374672 = 2433471693
BaseRepresentation
bin1000001100100…
…0010000010000
32101200102012000
42003020100100
532244442142
63224434000
7565115463
oct203102020
971612160
1034374672
1118449222
12b618900
137177257
1447cb2da
15304014c
hex20c8410

34374672 has 80 divisors (see below), whose sum is σ = 100826880. Its totient is φ = 11207808.

The previous prime is 34374661. The next prime is 34374689. The reversal of 34374672 is 27647343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19458 + ... + 21150.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 234374672 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 34374672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50413440).

34374672 is an abundant number, since it is smaller than the sum of its proper divisors (66452208).

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

34374672 is a wasteful number, since it uses less digits than its factorization.

34374672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1745 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 34374672 is about 5862.9917277786. The cubic root of 34374672 is about 325.1468275423.

The spelling of 34374672 in words is "thirty-four million, three hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 1693 2256 2538 3384 3386 5076 5079 6768 6772 10152 10158 13544 15237 20304 20316 27088 30474 40632 45711 60948 79571 81264 91422 121896 159142 182844 238713 243792 318284 365688 477426 636568 716139 731376 954852 1273136 1432278 1909704 2148417 2864556 3819408 4296834 5729112 8593668 11458224 17187336 34374672