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34054002 = 2321891889
BaseRepresentation
bin1000000111100…
…1111101110010
32101002010022100
42001321331302
532204212002
63213521230
7562311543
oct201717562
971063270
1034054002
111824a304
12b4a3216
1370942c8
1447464ca
152eca11c
hex2079f72

34054002 has 12 divisors (see below), whose sum is σ = 73783710. Its totient is φ = 11351328.

The previous prime is 34053983. The next prime is 34054003. The reversal of 34054002 is 20045043.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33281361 + 772641 = 5769^2 + 879^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1891889 = 34054002 / (3 + 4 + 0 + 5 + 4 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (34054003) 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, 945927 + ... + 945962.

Almost surely, 234054002 is an apocalyptic number.

34054002 is an abundant number, since it is smaller than the sum of its proper divisors (39729708).

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

34054002 is a wasteful number, since it uses less digits than its factorization.

34054002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891897 (or 1891894 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34054002 is about 5835.5806908996. The cubic root of 34054002 is about 324.1326046145.

Adding to 34054002 its reverse (20045043), we get a palindrome (54099045).

It can be divided in two parts, 3405 and 4002, that multiplied together give a triangular number (13626810 = T5220).

The spelling of 34054002 in words is "thirty-four million, fifty-four thousand, two", and thus it is an eban number.

Divisors: 1 2 3 6 9 18 1891889 3783778 5675667 11351334 17027001 34054002