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34948512 = 2532121349
BaseRepresentation
bin1000010101010…
…0010110100000
32102202120100100
42011110112200
532421323022
63245022400
7603025464
oct205242640
972676310
1034948512
1118800375
12b854a00
1373184c1
1448da4a4
1531051ac
hex21545a0

34948512 has 36 divisors (see below), whose sum is σ = 99385650. Its totient is φ = 11649408.

The previous prime is 34948499. The next prime is 34948513. The reversal of 34948512 is 21584943.

It can be written as a sum of positive squares in only one way, i.e., 33593616 + 1354896 = 5796^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (34948513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60387 + ... + 60962.

Almost surely, 234948512 is an apocalyptic number.

34948512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34948512 is an abundant number, since it is smaller than the sum of its proper divisors (64437138).

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

34948512 is a wasteful number, since it uses less digits than its factorization.

34948512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121365 (or 121354 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 34948512 is about 5911.7266513262. The cubic root of 34948512 is about 326.9461516695.

The spelling of 34948512 in words is "thirty-four million, nine hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 121349 242698 364047 485396 728094 970792 1092141 1456188 1941584 2184282 2912376 3883168 4368564 5824752 8737128 11649504 17474256 34948512