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109393344 = 26321791061
BaseRepresentation
bin1101000010100…
…11010111000000
321121211202110100
412201103113000
5211001041334
614504402400
72465554014
oct641232700
9247752410
10109393344
1156827925
1230776400
13198821b8
1410758544
15990cc99
hex68535c0

109393344 has 84 divisors (see below), whose sum is σ = 315605160. Its totient is φ = 36226560.

The previous prime is 109393337. The next prime is 109393369. The reversal of 109393344 is 443393901.

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

It is a junction number, because it is equal to n+sod(n) for n = 109393299 and 109393308.

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 11 ways as a sum of consecutive naturals, for example, 102574 + ... + 103634.

Almost surely, 2109393344 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 109393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157802580).

109393344 is an abundant number, since it is smaller than the sum of its proper divisors (206211816).

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

109393344 is a wasteful number, since it uses less digits than its factorization.

109393344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 109393344 is about 10459.1273058511. The cubic root of 109393344 is about 478.2595300535.

The spelling of 109393344 in words is "one hundred nine million, three hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 179 192 288 358 537 576 716 1061 1074 1432 1611 2122 2148 2864 3183 3222 4244 4296 5728 6366 6444 8488 8592 9549 11456 12732 12888 16976 17184 19098 25464 25776 33952 34368 38196 50928 51552 67904 76392 101856 103104 152784 189919 203712 305568 379838 569757 611136 759676 1139514 1519352 1709271 2279028 3038704 3418542 4558056 6077408 6837084 9116112 12154816 13674168 18232224 27348336 36464448 54696672 109393344