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34440525 = 3352737197
BaseRepresentation
bin1000001101100…
…0010101001101
32101210202112000
42003120111031
532304044100
63230102513
7565511460
oct203302515
971722460
1034440525
1118493749
12b64aa39
13719b212
1448072d7
153054900
hex20d854d

34440525 has 96 divisors (see below), whose sum is σ = 74638080. Its totient is φ = 15240960.

The previous prime is 34440517. The next prime is 34440551. The reversal of 34440525 is 52504443.

It is not a de Polignac number, because 34440525 - 23 = 34440517 is a prime.

It is a super-2 number, since 2×344405252 = 2372299524551250, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174727 + ... + 174923.

It is an arithmetic number, because the mean of its divisors is an integer number (777480).

Almost surely, 234440525 is an apocalyptic number.

34440525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34440525 is an abundant number, since it is smaller than the sum of its proper divisors (40197555).

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

34440525 is a wasteful number, since it uses less digits than its factorization.

34440525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 34440525 is about 5868.6050301584. The cubic root of 34440525 is about 325.3543275620.

Adding to 34440525 its reverse (52504443), we get a palindrome (86944968).

The spelling of 34440525 in words is "thirty-four million, four hundred forty thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 37 45 63 75 105 111 135 175 185 189 197 225 259 315 333 525 555 591 675 777 925 945 985 999 1295 1379 1575 1665 1773 2331 2775 2955 3885 4137 4725 4925 4995 5319 6475 6895 6993 7289 8325 8865 11655 12411 14775 19425 20685 21867 24975 26595 34475 34965 36445 37233 44325 51023 58275 62055 65601 103425 109335 132975 153069 174825 182225 186165 196803 255115 310275 328005 459207 546675 765345 930825 984015 1275575 1377621 1640025 2296035 3826725 4920075 6888105 11480175 34440525