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34080696 = 23331353229
BaseRepresentation
bin1000001000000…
…0011110111000
32101010110221000
42002000132320
532211040241
63214245000
7562452426
oct202003670
971113830
1034080696
1118268371
12b4b6760
1370a34c0
144752116
152ed2eb6
hex20807b8

34080696 has 128 divisors (see below), whose sum is σ = 104328000. Its totient is φ = 10243584.

The previous prime is 34080649. The next prime is 34080719. The reversal of 34080696 is 69608043.

It is a super-2 number, since 2×340806962 = 2322987679688832, which contains 22 as substring.

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 34080696.

It is a congruent number.

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, 148710 + ... + 148938.

Almost surely, 234080696 is an apocalyptic number.

34080696 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 34080696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52164000).

34080696 is an abundant number, since it is smaller than the sum of its proper divisors (70247304).

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

34080696 is a wasteful number, since it uses less digits than its factorization.

34080696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 34080696 is about 5837.8674188440. The cubic root of 34080696 is about 324.2172753867.

The spelling of 34080696 in words is "thirty-four million, eighty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 53 54 72 78 104 106 108 117 156 159 212 216 229 234 312 318 351 424 458 468 477 636 687 689 702 916 936 954 1272 1374 1378 1404 1431 1832 1908 2061 2067 2748 2756 2808 2862 2977 3816 4122 4134 5496 5512 5724 5954 6183 6201 8244 8268 8931 11448 11908 12137 12366 12402 16488 16536 17862 18603 23816 24274 24732 24804 26793 35724 36411 37206 48548 49464 49608 53586 71448 72822 74412 80379 97096 107172 109233 145644 148824 157781 160758 214344 218466 291288 315562 321516 327699 436932 473343 631124 643032 655398 873864 946686 1262248 1310796 1420029 1893372 2621592 2840058 3786744 4260087 5680116 8520174 11360232 17040348 34080696