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194440032 = 25323771257
BaseRepresentation
bin10111001011011…
…10101101100000
3111112212120120200
423211232231200
5344234040112
631143305200
74550466363
oct1345565540
9445776520
10194440032
119a835746
125514b200
133138b697
141bb760da
151210bcdc
hexb96eb60

194440032 has 144 divisors (see below), whose sum is σ = 578122272. Its totient is φ = 61931520.

The previous prime is 194440031. The next prime is 194440073. The reversal of 194440032 is 230044491.

194440032 is a `hidden beast` number, since 194 + 440 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1944400322 = 75613852088322048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 194439978 and 194440005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194440031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756448 + ... + 756704.

It is an arithmetic number, because the mean of its divisors is an integer number (4014738).

Almost surely, 2194440032 is an apocalyptic number.

194440032 is a gapful number since it is divisible by the number (12) 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 194440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289061136).

194440032 is an abundant number, since it is smaller than the sum of its proper divisors (383682240).

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

194440032 is a wasteful number, since it uses less digits than its factorization.

194440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 194440032 is about 13944.1755582752. The cubic root of 194440032 is about 579.3333918933. Note that the first 4 decimals are identical.

The spelling of 194440032 in words is "one hundred ninety-four million, four hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 71 72 74 96 111 142 144 148 213 222 257 284 288 296 333 426 444 514 568 592 639 666 771 852 888 1028 1136 1184 1278 1332 1542 1704 1776 2056 2272 2313 2556 2627 2664 3084 3408 3552 4112 4626 5112 5254 5328 6168 6816 7881 8224 9252 9509 10224 10508 10656 12336 15762 18247 18504 19018 20448 21016 23643 24672 28527 31524 36494 37008 38036 42032 47286 54741 57054 63048 72988 74016 76072 84064 85581 94572 109482 114108 126096 145976 152144 164223 171162 189144 218964 228216 252192 291952 304288 328446 342324 378288 437928 456432 583904 656892 675139 684648 756576 875856 912864 1313784 1350278 1369296 1751712 2025417 2627568 2700556 2738592 4050834 5255136 5401112 6076251 8101668 10802224 12152502 16203336 21604448 24305004 32406672 48610008 64813344 97220016 194440032