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34144425 = 32527219163
BaseRepresentation
bin1000001001000…
…0000010101001
32101020201100100
42002100002221
532220110200
63215500013
7563136300
oct202200251
971221310
1034144425
1118301237
12b527609
1370c6503
14476b437
152ee6d00
hex20900a9

34144425 has 108 divisors (see below), whose sum is σ = 75344880. Its totient is φ = 14696640.

The previous prime is 34144417. The next prime is 34144441. The reversal of 34144425 is 52444143.

It is a happy number.

It is not a de Polignac number, because 34144425 - 23 = 34144417 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 209394 + ... + 209556.

Almost surely, 234144425 is an apocalyptic number.

34144425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34144425 is an abundant number, since it is smaller than the sum of its proper divisors (41200455).

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

34144425 is a wasteful number, since it uses less digits than its factorization.

34144425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 34144425 is about 5843.3231127501. The cubic root of 34144425 is about 324.4192389572.

Adding to 34144425 its reverse (52444143), we get a palindrome (86588568).

The spelling of 34144425 in words is "thirty-four million, one hundred forty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 49 57 63 75 95 105 133 147 163 171 175 225 245 285 315 399 441 475 489 525 665 735 815 855 931 1141 1197 1225 1425 1467 1575 1995 2205 2445 2793 3097 3325 3423 3675 4075 4275 4655 5705 5985 7335 7987 8379 9291 9975 10269 11025 12225 13965 15485 17115 21679 23275 23961 27873 28525 29925 36675 39935 41895 46455 51345 65037 69825 71883 77425 85575 108395 119805 139365 151753 195111 199675 209475 232275 256725 325185 359415 455259 541975 599025 696825 758765 975555 1365777 1625925 1797075 2276295 3793825 4877775 6828885 11381475 34144425