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34076704 = 2517371693
BaseRepresentation
bin1000000111111…
…1100000100000
32101010021110011
42001333200200
532210423304
63214214304
7562434664
oct201774040
971107404
1034076704
1118265372
12b4b4394
1370a173c
1447508a4
152ed1c04
hex207f820

34076704 has 48 divisors (see below), whose sum is σ = 72997848. Its totient is φ = 15593472.

The previous prime is 34076681. The next prime is 34076723. The reversal of 34076704 is 40767043.

It can be written as a sum of positive squares in 4 ways, for example, as 33872400 + 204304 = 5820^2 + 452^2 .

It is a super-2 number, since 2×340767042 = 2322443511007232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19282 + ... + 20974.

Almost surely, 234076704 is an apocalyptic number.

34076704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34076704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36498924).

34076704 is an abundant number, since it is smaller than the sum of its proper divisors (38921144).

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

34076704 is a wasteful number, since it uses less digits than its factorization.

34076704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 34076704 is about 5837.5255031563. The cubic root of 34076704 is about 324.2046159631.

The spelling of 34076704 in words is "thirty-four million, seventy-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1184 1258 1693 2516 3386 5032 6772 10064 13544 20128 27088 28781 54176 57562 62641 115124 125282 230248 250564 460496 501128 920992 1002256 1064897 2004512 2129794 4259588 8519176 17038352 34076704