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34491096 = 23341731101
BaseRepresentation
bin1000001110010…
…0101011011000
32101220022220000
42003210223120
532312203341
63231133000
7566112063
oct203445330
971808800
1034491096
1118518742
12b674160
1371b8243
14481b8da
1530648b6
hex20e4ad8

34491096 has 160 divisors (see below), whose sum is σ = 106634880. Its totient is φ = 10368000.

The previous prime is 34491089. The next prime is 34491097. The reversal of 34491096 is 69019443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34491096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34491097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 341446 + ... + 341546.

It is an arithmetic number, because the mean of its divisors is an integer number (666468).

Almost surely, 234491096 is an apocalyptic number.

34491096 is a gapful number since it is divisible by the number (36) 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 34491096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53317440).

34491096 is an abundant number, since it is smaller than the sum of its proper divisors (72143784).

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

34491096 is a wasteful number, since it uses less digits than its factorization.

34491096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34491096 is about 5872.9120545092. The cubic root of 34491096 is about 325.5134951614.

The spelling of 34491096 in words is "thirty-four million, four hundred ninety-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 31 34 36 51 54 62 68 72 81 93 101 102 108 124 136 153 162 186 202 204 216 248 279 303 306 324 372 404 408 459 527 558 606 612 648 744 808 837 909 918 1054 1116 1212 1224 1377 1581 1674 1717 1818 1836 2108 2232 2424 2511 2727 2754 3131 3162 3348 3434 3636 3672 4216 4743 5022 5151 5454 5508 6262 6324 6696 6868 7272 8181 9393 9486 10044 10302 10908 11016 12524 12648 13736 14229 15453 16362 18786 18972 20088 20604 21816 25048 28179 28458 30906 32724 37572 37944 41208 42687 46359 53227 56358 56916 61812 65448 75144 84537 85374 92718 106454 112716 113832 123624 139077 159681 169074 170748 185436 212908 225432 253611 278154 319362 338148 341496 370872 425816 479043 507222 556308 638724 676296 958086 1014444 1112616 1277448 1437129 1916172 2028888 2874258 3832344 4311387 5748516 8622774 11497032 17245548 34491096