Search a number
-
+
34629741 = 332947941
BaseRepresentation
bin1000010000011…
…0100001101101
32102011101002000
42010012201231
532331122431
63234122513
7600230226
oct204064155
972141060
1034629741
1118602923
12b720439
137236393
14485624d
1530909e6
hex210686d

34629741 has 32 divisors (see below), whose sum is σ = 54259200. Its totient is φ = 21792960.

The previous prime is 34629737. The next prime is 34629757. The reversal of 34629741 is 14792643.

It is not a de Polignac number, because 34629741 - 22 = 34629737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34629696 and 34629705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34629701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36331 + ... + 37271.

It is an arithmetic number, because the mean of its divisors is an integer number (1695600).

Almost surely, 234629741 is an apocalyptic number.

It is an amenable number.

34629741 is a deficient number, since it is larger than the sum of its proper divisors (19629459).

34629741 is a wasteful number, since it uses less digits than its factorization.

34629741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1020 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 34629741 is about 5884.7039857583. The cubic root of 34629741 is about 325.9490711714.

It can be divided in two parts, 3462 and 9741, that added together give a triangular number (13203 = T162).

The spelling of 34629741 in words is "thirty-four million, six hundred twenty-nine thousand, seven hundred forty-one".

Divisors: 1 3 9 27 29 47 87 141 261 423 783 941 1269 1363 2823 4089 8469 12267 25407 27289 36801 44227 81867 132681 245601 398043 736803 1194129 1282583 3847749 11543247 34629741