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34664004 = 2233476829
BaseRepresentation
bin1000010000111…
…0111001000100
32102020010002000
42010032321010
532333222004
63234545300
7600432144
oct204167104
972203060
1034664004
1118626641
12b738230
137248b5b
144864924
15309ac39
hex210ee44

34664004 has 48 divisors (see below), whose sum is σ = 91795200. Its totient is φ = 11307168.

The previous prime is 34663997. The next prime is 34664011. The reversal of 34664004 is 40046643.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34663997) and next prime (34664011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1662 + ... + 8490.

It is an arithmetic number, because the mean of its divisors is an integer number (1912400).

Almost surely, 234664004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34664004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45897600).

34664004 is an abundant number, since it is smaller than the sum of its proper divisors (57131196).

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

34664004 is a wasteful number, since it uses less digits than its factorization.

34664004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6889 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 34664004 is about 5887.6144574862. The cubic root of 34664004 is about 326.0565347898.

The spelling of 34664004 in words is "thirty-four million, six hundred sixty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 6829 13658 20487 27316 40974 61461 81948 122922 184383 245844 320963 368766 641926 737532 962889 1283852 1925778 2888667 3851556 5777334 8666001 11554668 17332002 34664004