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34130068 = 22722367113
BaseRepresentation
bin1000001000110…
…0100010010100
32101012222122121
42002030202110
532214130233
63215305324
7563046400
oct202144224
971188577
1034130068
11182a1475
12b51b244
1370bcb0b
144766100
152ee292d
hex208c894

34130068 has 72 divisors (see below), whose sum is σ = 74233152. Its totient is φ = 13660416.

The previous prime is 34130051. The next prime is 34130093. The reversal of 34130068 is 86003143.

It is a congruent number.

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, 301980 + ... + 302092.

It is an arithmetic number, because the mean of its divisors is an integer number (1031016).

Almost surely, 234130068 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 34130068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37116576).

34130068 is an abundant number, since it is smaller than the sum of its proper divisors (40103084).

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

34130068 is a wasteful number, since it uses less digits than its factorization.

34130068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 34130068 is about 5842.0944874249. The cubic root of 34130068 is about 324.3737621336.

The spelling of 34130068 in words is "thirty-four million, one hundred thirty thousand, sixty-eight".

Divisors: 1 2 4 7 14 23 28 46 49 67 92 98 113 134 161 196 226 268 322 452 469 644 791 938 1127 1541 1582 1876 2254 2599 3082 3164 3283 4508 5198 5537 6164 6566 7571 10396 10787 11074 13132 15142 18193 21574 22148 30284 36386 43148 52997 72772 75509 105994 127351 151018 174133 211988 254702 302036 348266 370979 509404 696532 741958 1218931 1483916 2437862 4875724 8532517 17065034 34130068