Search a number
-
+
34057375 = 5311173147
BaseRepresentation
bin1000000111101…
…0110010011111
32101002021221021
42001322302133
532204314000
63213545011
7562324432
oct201726237
971067837
1034057375
11182518a0
12b4a5167
1370959c1
144747819
152ecb11a
hex207ac9f

34057375 has 64 divisors (see below), whose sum is σ = 51757056. Its totient is φ = 22080000.

The previous prime is 34057349. The next prime is 34057391. The reversal of 34057375 is 57375043.

It is not a de Polignac number, because 34057375 - 29 = 34056863 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34057375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724602 + ... + 724648.

It is an arithmetic number, because the mean of its divisors is an integer number (808704).

Almost surely, 234057375 is an apocalyptic number.

34057375 is a deficient number, since it is larger than the sum of its proper divisors (17699681).

34057375 is a wasteful number, since it uses less digits than its factorization.

34057375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 34.

The square root of 34057375 is about 5835.8696866877. The cubic root of 34057375 is about 324.1433058842.

The spelling of 34057375 in words is "thirty-four million, fifty-seven thousand, three hundred seventy-five".

Divisors: 1 5 11 17 25 31 47 55 85 125 155 187 235 275 341 425 517 527 775 799 935 1175 1375 1457 1705 2125 2585 2635 3875 3995 4675 5797 5875 7285 8525 8789 12925 13175 16027 19975 23375 24769 28985 36425 42625 43945 64625 65875 80135 99875 123845 144925 182125 219725 272459 400675 619225 724625 1098625 1362295 2003375 3096125 6811475 34057375