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20034378 = 236713151
BaseRepresentation
bin100110001101…
…1001101001010
31101200212000000
41030123031022
520112100003
61553223430
7332201160
oct114331512
941625000
1020034378
1110344141
126861b76
1341c5c80
142937230
151b5b1a3
hex131b34a

20034378 has 112 divisors (see below), whose sum is σ = 55821696. Its totient is φ = 5248800.

The previous prime is 20034373. The next prime is 20034397. The reversal of 20034378 is 87343002.

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

It is not an unprimeable number, because it can be changed into a prime (20034373) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 132603 + ... + 132753.

It is an arithmetic number, because the mean of its divisors is an integer number (498408).

Almost surely, 220034378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20034378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27910848).

20034378 is an abundant number, since it is smaller than the sum of its proper divisors (35787318).

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

20034378 is a wasteful number, since it uses less digits than its factorization.

20034378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20034378 is about 4475.9778819829. The cubic root of 20034378 is about 271.5971997140.

The spelling of 20034378 in words is "twenty million, thirty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 151 162 182 189 234 243 273 302 351 378 453 486 546 567 702 729 819 906 1053 1057 1134 1359 1458 1638 1701 1963 2106 2114 2457 2718 3159 3171 3402 3926 4077 4914 5103 5889 6318 6342 7371 8154 9477 9513 10206 11778 12231 13741 14742 17667 18954 19026 22113 24462 27482 28539 35334 36693 41223 44226 53001 57078 66339 73386 82446 85617 106002 110079 123669 132678 159003 171234 220158 247338 256851 318006 371007 477009 513702 742014 770553 954018 1113021 1431027 1541106 2226042 2862054 3339063 6678126 10017189 20034378