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34691112 = 23331979107
BaseRepresentation
bin1000010001010…
…1100000101000
32102021111021000
42010111200220
532340103422
63235315000
7600604161
oct204254050
972244230
1034691112
1118644a45
12b74ba60
1372582b1
144870768
1530a3cac
hex2115828

34691112 has 128 divisors (see below), whose sum is σ = 103680000. Its totient is φ = 10715328.

The previous prime is 34691081. The next prime is 34691147. The reversal of 34691112 is 21119643.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324163 + ... + 324269.

It is an arithmetic number, because the mean of its divisors is an integer number (810000).

Almost surely, 234691112 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 34691112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840000).

34691112 is an abundant number, since it is smaller than the sum of its proper divisors (68988888).

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

34691112 is a wasteful number, since it uses less digits than its factorization.

34691112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 34691112 is about 5889.9161284351. The cubic root of 34691112 is about 326.1415070616.

The spelling of 34691112 in words is "thirty-four million, six hundred ninety-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 79 107 108 114 152 158 171 214 216 228 237 316 321 342 428 456 474 513 632 642 684 711 856 948 963 1026 1284 1368 1422 1501 1896 1926 2033 2052 2133 2568 2844 2889 3002 3852 4066 4104 4266 4503 5688 5778 6004 6099 7704 8132 8453 8532 9006 11556 12008 12198 13509 16264 16906 17064 18012 18297 23112 24396 25359 27018 33812 36024 36594 40527 48792 50718 54036 54891 67624 73188 76077 81054 101436 108072 109782 146376 152154 160607 162108 202872 219564 228231 304308 321214 324216 439128 456462 481821 608616 642428 912924 963642 1284856 1445463 1825848 1927284 2890926 3854568 4336389 5781852 8672778 11563704 17345556 34691112