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34824141 = 3311373169
BaseRepresentation
bin1000010011010…
…1111111001101
32102112020202000
42010311333031
532403333031
63242222513
7602000052
oct204657715
972466660
1034824141
1118725990
12b7b4a39
1372a3a01
1448a7029
1530cd3e6
hex2135fcd

34824141 has 32 divisors (see below), whose sum is σ = 57820800. Its totient is φ = 20528640.

The previous prime is 34824103. The next prime is 34824173. The reversal of 34824141 is 14142843.

It is not a de Polignac number, because 34824141 - 214 = 34807757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34824241) 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, 9405 + ... + 12573.

It is an arithmetic number, because the mean of its divisors is an integer number (1806900).

Almost surely, 234824141 is an apocalyptic number.

It is an amenable number.

34824141 is a deficient number, since it is larger than the sum of its proper divisors (22996659).

34824141 is a wasteful number, since it uses less digits than its factorization.

34824141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3220 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 34824141 is about 5901.1982681486. The cubic root of 34824141 is about 326.5578571152.

Adding to 34824141 its reverse (14142843), we get a palindrome (48966984).

The spelling of 34824141 in words is "thirty-four million, eight hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 3169 3663 9507 10989 28521 34859 85563 104577 117253 313731 351759 941193 1055277 1289783 3165831 3869349 11608047 34824141