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34712928 = 253340177
BaseRepresentation
bin1000010001101…
…0110101100000
32102022121012000
42010122311200
532341303203
63240004000
7601024605
oct204326540
972277160
1034712928
111865a378
12b760600
1372651c3
1448786ac
1530aa4a3
hex211ad60

34712928 has 48 divisors (see below), whose sum is σ = 101248560. Its totient is φ = 11570688.

The previous prime is 34712927. The next prime is 34712939. The reversal of 34712928 is 82921743.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34712892 and 34712901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34712921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19225 + ... + 20952.

It is an arithmetic number, because the mean of its divisors is an integer number (2109345).

Almost surely, 234712928 is an apocalyptic number.

It is an amenable number.

34712928 is an abundant number, since it is smaller than the sum of its proper divisors (66535632).

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

34712928 is a wasteful number, since it uses less digits than its factorization.

34712928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40196 (or 40182 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 34712928 is about 5891.7678161991. The cubic root of 34712928 is about 326.2098589800.

The spelling of 34712928 in words is "thirty-four million, seven hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 40177 80354 120531 160708 241062 321416 361593 482124 642832 723186 964248 1084779 1285664 1446372 1928496 2169558 2892744 3856992 4339116 5785488 8678232 11570976 17356464 34712928