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194003424 = 253561409
BaseRepresentation
bin10111001000001…
…00000111100000
3111112001101200000
423210010013200
5344131102144
631130100000
74544000436
oct1344040740
9445041600
10194003424
119a56770a
1254b7a600
1331267a34
141baa0d56
1512072769
hexb9041e0

194003424 has 144 divisors (see below), whose sum is σ = 582931440. Its totient is φ = 63452160.

The previous prime is 194003393. The next prime is 194003437. The reversal of 194003424 is 424300491.

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

It is a super-3 number, since 3×1940034243 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474132 + ... + 474540.

It is an arithmetic number, because the mean of its divisors is an integer number (4048135).

Almost surely, 2194003424 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 194003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291465720).

194003424 is an abundant number, since it is smaller than the sum of its proper divisors (388928016).

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

194003424 is an equidigital number, since it uses as much as digits as its factorization.

194003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 475 counting only the distinct ones).

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

The square root of 194003424 is about 13928.5111910785. The cubic root of 194003424 is about 578.8994429251.

The spelling of 194003424 in words is "one hundred ninety-four million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 108 122 144 162 183 216 243 244 288 324 366 409 432 486 488 549 648 732 818 864 972 976 1098 1227 1296 1464 1636 1647 1944 1952 2196 2454 2592 2928 3272 3294 3681 3888 4392 4908 4941 5856 6544 6588 7362 7776 8784 9816 9882 11043 13088 13176 14724 14823 17568 19632 19764 22086 24949 26352 29448 29646 33129 39264 39528 44172 49898 52704 58896 59292 66258 74847 79056 88344 99387 99796 117792 118584 132516 149694 158112 176688 198774 199592 224541 237168 265032 299388 353376 397548 399184 449082 474336 530064 598776 673623 795096 798368 898164 1060128 1197552 1347246 1590192 1796328 2020869 2395104 2694492 3180384 3592656 4041738 5388984 6062607 7185312 8083476 10777968 12125214 16166952 21555936 24250428 32333904 48500856 64667808 97001712 194003424