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34413441 = 3313773137
BaseRepresentation
bin1000001101000…
…1101110000001
32101202101100220
42003101232001
532302212231
63225333253
7565336506
oct203215601
971671326
1034413441
1118475367
12b637229
13718baaa
1447db4ad
15304b896
hex20d1b81

34413441 has 32 divisors (see below), whose sum is σ = 49671168. Its totient is φ = 21150720.

The previous prime is 34413437. The next prime is 34413443. The reversal of 34413441 is 14431443.

It is not a de Polignac number, because 34413441 - 22 = 34413437 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34413443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251125 + ... + 251261.

It is an arithmetic number, because the mean of its divisors is an integer number (1552224).

Almost surely, 234413441 is an apocalyptic number.

34413441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34413441 is a deficient number, since it is larger than the sum of its proper divisors (15257727).

34413441 is a wasteful number, since it uses less digits than its factorization.

34413441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281.

The product of its digits is 2304, while the sum is 24.

The square root of 34413441 is about 5866.2970432804. The cubic root of 34413441 is about 325.2690190724.

Adding to 34413441 its reverse (14431443), we get a palindrome (48844884).

The spelling of 34413441 in words is "thirty-four million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 31 37 73 93 111 137 219 411 1147 2263 2701 3441 4247 5069 6789 8103 10001 12741 15207 30003 83731 157139 251193 310031 370037 471417 930093 1110111 11471147 34413441