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20034168 = 23371137293
BaseRepresentation
bin100110001101…
…1001001111000
31101200211201020
41030123021320
520112043133
61553222440
7332200440
oct114331170
941624636
1020034168
1110343a70
126861a20
1341c5b4b
142937120
151b5b0b3
hex131b278

20034168 has 128 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 5045760.

The previous prime is 20034149. The next prime is 20034187. The reversal of 20034168 is 86143002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20034149) and next prime (20034187).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68230 + ... + 68522.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 220034168 is an apocalyptic number.

20034168 is a gapful number since it is divisible by the number (28) 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 20034168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

20034168 is an abundant number, since it is smaller than the sum of its proper divisors (44316552).

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

20034168 is a wasteful number, since it uses less digits than its factorization.

20034168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20034168 is about 4475.9544233605. The cubic root of 20034168 is about 271.5962507517.

It can be divided in two parts, 20034 and 168, that added together give a palindrome (20202).

The spelling of 20034168 in words is "twenty million, thirty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 37 42 44 56 66 74 77 84 88 111 132 148 154 168 222 231 259 264 293 296 308 407 444 462 518 586 616 777 814 879 888 924 1036 1172 1221 1554 1628 1758 1848 2051 2072 2344 2442 2849 3108 3223 3256 3516 4102 4884 5698 6153 6216 6446 7032 8204 8547 9669 9768 10841 11396 12306 12892 16408 17094 19338 21682 22561 22792 24612 25784 32523 34188 38676 43364 45122 49224 65046 67683 68376 75887 77352 86728 90244 119251 130092 135366 151774 180488 227661 238502 260184 270732 303548 357753 455322 477004 541464 607096 715506 834757 910644 954008 1431012 1669514 1821288 2504271 2862024 3339028 5008542 6678056 10017084 20034168