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34064004 = 22313593701
BaseRepresentation
bin1000000111110…
…0011010000100
32101002122000210
42001330122010
532210022004
63214035420
7562352652
oct201743204
971078023
1034064004
1118256877
12b4a8b70
137098a20
144749dd2
152ecd089
hex207c684

34064004 has 48 divisors (see below), whose sum is σ = 87071040. Its totient is φ = 10300800.

The previous prime is 34064003. The next prime is 34064021. The reversal of 34064004 is 40046043.

It is not an unprimeable number, because it can be changed into a prime (34064003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7354 + ... + 11054.

It is an arithmetic number, because the mean of its divisors is an integer number (1813980).

Almost surely, 234064004 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 34064004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43535520).

34064004 is an abundant number, since it is smaller than the sum of its proper divisors (53007036).

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

34064004 is a wasteful number, since it uses less digits than its factorization.

34064004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34064004 is about 5836.4376121055. The cubic root of 34064004 is about 324.1643351677.

The spelling of 34064004 in words is "thirty-four million, sixty-four thousand, four", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 1534 2301 3068 3701 4602 7402 9204 11103 14804 22206 44412 48113 96226 144339 192452 218359 288678 436718 577356 655077 873436 1310154 2620308 2838667 5677334 8516001 11354668 17032002 34064004