Search a number
-
+
34728573 = 3112293299
BaseRepresentation
bin1000010001111…
…0101001111101
32102100101122110
42010132221331
532342303243
63240204233
7601121325
oct204365175
972311573
1034728573
1118670100
12b769679
13726c369
144880285
1530aee33
hex211ea7d

34728573 has 24 divisors (see below), whose sum is σ = 52668000. Its totient is φ = 20315680.

The previous prime is 34728553. The next prime is 34728593. The reversal of 34728573 is 37582743.

It is an interprime number because it is at equal distance from previous prime (34728553) and next prime (34728593).

It is not a de Polignac number, because 34728573 - 213 = 34720381 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34728553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8878 + ... + 12176.

It is an arithmetic number, because the mean of its divisors is an integer number (2194500).

Almost surely, 234728573 is an apocalyptic number.

34728573 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34728573 is a deficient number, since it is larger than the sum of its proper divisors (17939427).

34728573 is a wasteful number, since it uses less digits than its factorization.

34728573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3342 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 34728573 is about 5893.0953666134. The cubic root of 34728573 is about 326.2588588484.

It can be divided in two parts, 347 and 28573, that added together give a triangular number (28920 = T240).

The spelling of 34728573 in words is "thirty-four million, seven hundred twenty-eight thousand, five hundred seventy-three".

Divisors: 1 3 11 29 33 87 121 319 363 957 3299 3509 9897 10527 36289 95671 108867 287013 399179 1052381 1197537 3157143 11576191 34728573