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194383440 = 243251715881
BaseRepresentation
bin10111001011000…
…00111001010000
3111112202200221200
423211200321100
5344230232230
631142151200
74550142366
oct1345407120
9445680850
10194383440
119a7a7179
1255122500
133136b9b4
141bb5d636
15120ea160
hexb960e50

194383440 has 120 divisors (see below), whose sum is σ = 691248168. Its totient is φ = 48783360.

The previous prime is 194383429. The next prime is 194383447. The reversal of 194383440 is 44383491.

It can be written as a sum of positive squares in 4 ways, for example, as 87385104 + 106998336 = 9348^2 + 10344^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 194383395 and 194383404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194383447) 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, 4300 + ... + 20180.

Almost surely, 2194383440 is an apocalyptic number.

194383440 is a gapful number since it is divisible by the number (10) 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 194383440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345624084).

194383440 is an abundant number, since it is smaller than the sum of its proper divisors (496864728).

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

194383440 is a wasteful number, since it uses less digits than its factorization.

194383440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15917 (or 15908 counting only the distinct ones).

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

The square root of 194383440 is about 13942.1461762528. The cubic root of 194383440 is about 579.2771812179.

The spelling of 194383440 in words is "one hundred ninety-four million, three hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 15881 31762 47643 63524 79405 95286 127048 142929 158810 190572 238215 254096 269977 285858 317620 381144 476430 539954 571716 635240 714645 762288 809931 952860 1079908 1143432 1270480 1349885 1429290 1619862 1905720 2159816 2286864 2429793 2699770 2858580 3239724 3811440 4049655 4319632 4859586 5399540 5717160 6479448 8099310 9719172 10799080 11434320 12148965 12958896 16198620 19438344 21598160 24297930 32397240 38876688 48595860 64794480 97191720 194383440