Search a number
-
+
34301430 = 23251273001
BaseRepresentation
bin1000001011011…
…0010111110110
32101112200201100
42002312113312
532240121210
63223110530
7564362112
oct202662766
971480640
1034301430
11183a9199
12b5a2446
13714cb07
1447ac742
1530285c0
hex20b65f6

34301430 has 48 divisors (see below), whose sum is σ = 89915904. Its totient is φ = 9072000.

The previous prime is 34301429. The next prime is 34301471. The reversal of 34301430 is 3410343.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9930 + ... + 12930.

It is an arithmetic number, because the mean of its divisors is an integer number (1873248).

Almost surely, 234301430 is an apocalyptic number.

34301430 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 34301430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44957952).

34301430 is an abundant number, since it is smaller than the sum of its proper divisors (55614474).

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

34301430 is a wasteful number, since it uses less digits than its factorization.

34301430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34301430 is about 5856.7422685312. The cubic root of 34301430 is about 324.9157335772.

Adding to 34301430 its reverse (3410343), we get a palindrome (37711773).

The spelling of 34301430 in words is "thirty-four million, three hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 3001 3810 5715 6002 9003 11430 15005 18006 27009 30010 45015 54018 90030 135045 270090 381127 762254 1143381 1905635 2286762 3430143 3811270 5716905 6860286 11433810 17150715 34301430