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34130700 = 22335212641
BaseRepresentation
bin1000001000110…
…0101100001100
32101020000112000
42002030230030
532214140300
63215312300
7563051262
oct202145414
971200460
1034130700
11182a199a
12b51b690
1370c01a6
144766432
152ee2c00
hex208cb0c

34130700 has 72 divisors (see below), whose sum is σ = 109732560. Its totient is φ = 9100800.

The previous prime is 34130683. The next prime is 34130717. The reversal of 34130700 is 703143.

It is an interprime number because it is at equal distance from previous prime (34130683) and next prime (34130717).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3621 + ... + 9020.

Almost surely, 234130700 is an apocalyptic number.

34130700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34130700 is an abundant number, since it is smaller than the sum of its proper divisors (75601860).

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

34130700 is a wasteful number, since it uses less digits than its factorization.

34130700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664 (or 12651 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 34130700 is about 5842.1485773643. The cubic root of 34130700 is about 324.3757643071.

Adding to 34130700 its reverse (703143), we get a palindrome (34833843).

The spelling of 34130700 in words is "thirty-four million, one hundred thirty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 12641 25282 37923 50564 63205 75846 113769 126410 151692 189615 227538 252820 316025 341307 379230 455076 568845 632050 682614 758460 948075 1137690 1264100 1365228 1706535 1896150 2275380 2844225 3413070 3792300 5688450 6826140 8532675 11376900 17065350 34130700