Search a number
-
+
34941492 = 223247107193
BaseRepresentation
bin1000010101001…
…0101000110100
32102202012201100
42011102220310
532421111432
63244530100
7602666145
oct205225064
972665640
1034941492
11187a6073
12b850930
137315251
1448d7acc
15310307c
hex2152a34

34941492 has 72 divisors (see below), whose sum is σ = 91518336. Its totient is φ = 11234304.

The previous prime is 34941481. The next prime is 34941493. The reversal of 34941492 is 29414943.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34941493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180948 + ... + 181140.

It is an arithmetic number, because the mean of its divisors is an integer number (1271088).

Almost surely, 234941492 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 34941492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45759168).

34941492 is an abundant number, since it is smaller than the sum of its proper divisors (56576844).

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

34941492 is a wasteful number, since it uses less digits than its factorization.

34941492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34941492 is about 5911.1328863425. The cubic root of 34941492 is about 326.9242593147.

The spelling of 34941492 in words is "thirty-four million, nine hundred forty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 107 141 188 193 214 282 321 386 423 428 564 579 642 772 846 963 1158 1284 1692 1737 1926 2316 3474 3852 5029 6948 9071 10058 15087 18142 20116 20651 27213 30174 36284 41302 45261 54426 60348 61953 81639 82604 90522 108852 123906 163278 181044 185859 247812 326556 371718 743436 970597 1941194 2911791 3882388 5823582 8735373 11647164 17470746 34941492