Search a number
-
+
34714290 = 23513241167
BaseRepresentation
bin1000010001101…
…1001010110010
32102022200001110
42010123022302
532341324130
63240014150
7601031562
oct204331262
972280043
1034714290
11186603a6
12b761356
137265a00
144878da2
1530aaab0
hex211b2b2

34714290 has 96 divisors (see below), whose sum is σ = 92969856. Its totient is φ = 8286720.

The previous prime is 34714279. The next prime is 34714297. The reversal of 34714290 is 9241743.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34714297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207787 + ... + 207953.

It is an arithmetic number, because the mean of its divisors is an integer number (968436).

Almost surely, 234714290 is an apocalyptic number.

34714290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34714290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46484928).

34714290 is an abundant number, since it is smaller than the sum of its proper divisors (58255566).

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

34714290 is a wasteful number, since it uses less digits than its factorization.

34714290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 34714290 is about 5891.8834000683. The cubic root of 34714290 is about 326.2141253253.

The spelling of 34714290 in words is "thirty-four million, seven hundred fourteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 167 169 195 205 246 334 338 390 410 501 507 533 615 835 845 1002 1014 1066 1230 1599 1670 1690 2171 2505 2535 2665 3198 4342 5010 5070 5330 6513 6847 6929 7995 10855 13026 13694 13858 15990 20541 20787 21710 28223 32565 34235 34645 41082 41574 56446 65130 68470 69290 84669 89011 102705 103935 141115 169338 178022 205410 207870 267033 282230 423345 445055 534066 846690 890110 1157143 1335165 2314286 2670330 3471429 5785715 6942858 11571430 17357145 34714290