Search a number
-
+
109344384 = 2733291091
BaseRepresentation
bin1101000010001…
…11011010000000
321121202021022000
412201013122000
5210443010014
614503344000
72465261202
oct641073200
9247667260
10109344384
11567a4066
1230752000
1319865b26
1410744772
1598ed509
hex6847680

109344384 has 128 divisors (see below), whose sum is σ = 334152000. Its totient is φ = 35159040.

The previous prime is 109344379. The next prime is 109344397. The reversal of 109344384 is 483443901.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99679 + ... + 100769.

Almost surely, 2109344384 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 109344384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).

109344384 is an abundant number, since it is smaller than the sum of its proper divisors (224807616).

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

109344384 is a wasteful number, since it uses less digits than its factorization.

109344384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 109344384 is about 10456.7865044668. The cubic root of 109344384 is about 478.1881695853.

The spelling of 109344384 in words is "one hundred nine million, three hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1091 1152 1392 1566 1728 1856 2088 2182 2784 3132 3273 3456 3712 4176 4364 5568 6264 6546 8352 8728 9819 11136 12528 13092 16704 17456 19638 25056 26184 29457 31639 33408 34912 39276 50112 52368 58914 63278 69824 78552 94917 100224 104736 117828 126556 139648 157104 189834 209472 235656 253112 284751 314208 379668 418944 471312 506224 569502 628416 759336 854253 942624 1012448 1139004 1256832 1518672 1708506 1885248 2024896 2278008 3037344 3417012 3770496 4049792 4556016 6074688 6834024 9112032 12149376 13668048 18224064 27336096 36448128 54672192 109344384