Search a number
-
+
34053345 = 3353179103
BaseRepresentation
bin1000000111100…
…1110011100001
32101002002102000
42001321303201
532204201340
63213514213
7562306614
oct201716341
971062360
1034053345
1118249867
12b4a2969
137093c11
14474617b
152ec9d30
hex2079ce1

34053345 has 64 divisors (see below), whose sum is σ = 63897600. Its totient is φ = 17184960.

The previous prime is 34053289. The next prime is 34053347. The reversal of 34053345 is 54335043.

It is a happy number.

It is not a de Polignac number, because 34053345 - 26 = 34053281 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34053347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330564 + ... + 330666.

It is an arithmetic number, because the mean of its divisors is an integer number (998400).

Almost surely, 234053345 is an apocalyptic number.

It is an amenable number.

34053345 is a deficient number, since it is larger than the sum of its proper divisors (29844255).

34053345 is a wasteful number, since it uses less digits than its factorization.

34053345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 34053345 is about 5835.5243980297. The cubic root of 34053345 is about 324.1305201166.

Adding to 34053345 its reverse (54335043), we get a palindrome (88388388).

The spelling of 34053345 in words is "thirty-four million, fifty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 31 45 79 93 103 135 155 237 279 309 395 465 515 711 837 927 1185 1395 1545 2133 2449 2781 3193 3555 4185 4635 7347 8137 9579 10665 12245 13905 15965 22041 24411 28737 36735 40685 47895 66123 73233 86211 110205 122055 143685 219699 252247 330615 366165 431055 756741 1098495 1261235 2270223 3783705 6810669 11351115 34053345