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109354336 = 2571317472
BaseRepresentation
bin1101000010010…
…01110101100000
321121202202221121
412201021311200
5210443314321
614503502024
72465332210
oct641116540
9247682847
10109354336
1156800593
1230757914
131986a510
1410748240
159901441
hex6849d60

109354336 has 144 divisors (see below), whose sum is σ = 286657056. Its totient is φ = 39849984.

The previous prime is 109354327. The next prime is 109354361. The reversal of 109354336 is 633453901.

109354336 = 8992 + 9002 + ... + 10172.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2326665 + ... + 2326711.

It is an arithmetic number, because the mean of its divisors is an integer number (1990674).

Almost surely, 2109354336 is an apocalyptic number.

109354336 is a gapful number since it is divisible by the number (16) 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 109354336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143328528).

109354336 is an abundant number, since it is smaller than the sum of its proper divisors (177302720).

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

109354336 is a wasteful number, since it uses less digits than its factorization.

109354336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 109354336 is about 10457.2623568504. The cubic root of 109354336 is about 478.2026766077.

The spelling of 109354336 in words is "one hundred nine million, three hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 47 52 56 68 91 94 104 112 119 136 182 188 208 221 224 238 272 329 364 376 416 442 476 544 611 658 728 752 799 884 952 1222 1316 1456 1504 1547 1598 1768 1904 2209 2444 2632 2912 3094 3196 3536 3808 4277 4418 4888 5264 5593 6188 6392 7072 8554 8836 9776 10387 10528 11186 12376 12784 15463 17108 17672 19552 20774 22372 24752 25568 28717 30926 34216 35344 37553 41548 44744 49504 57434 61852 68432 70688 72709 75106 83096 89488 114868 123704 136864 145418 150212 166192 178976 201019 229736 247408 262871 290836 300424 332384 402038 459472 488189 494816 525742 581672 600848 804076 918944 976378 1051484 1163344 1201696 1608152 1952756 2102968 2326688 3216304 3417323 3905512 4205936 6432608 6834646 7811024 8411872 13669292 15622048 27338584 54677168 109354336