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34378036 = 22711273139
BaseRepresentation
bin1000001100100…
…1000100110100
32101200120210121
42003021010310
532300044121
63224501324
7565131340
oct203110464
971616717
1034378036
1118450800
12b61a844
137178944
1447cc620
153041141
hex20c9134

34378036 has 72 divisors (see below), whose sum is σ = 77161280. Its totient is φ = 13115520.

The previous prime is 34378033. The next prime is 34378067. The reversal of 34378036 is 63087343.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34377992 and 34378010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34378033) 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, 247255 + ... + 247393.

Almost surely, 234378036 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 34378036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38580640).

34378036 is an abundant number, since it is smaller than the sum of its proper divisors (42783244).

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

34378036 is a wasteful number, since it uses less digits than its factorization.

34378036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 34378036 is about 5863.2786050127. The cubic root of 34378036 is about 325.1574337841.

The spelling of 34378036 in words is "thirty-four million, three hundred seventy-eight thousand, thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 73 77 121 139 146 154 242 278 292 308 484 511 556 803 847 973 1022 1529 1606 1694 1946 2044 3058 3212 3388 3892 5621 6116 8833 10147 10703 11242 16819 17666 20294 21406 22484 33638 35332 40588 42812 61831 67276 71029 111617 117733 123662 142058 223234 235466 247324 284116 446468 470932 781319 1227787 1562638 2455574 3125276 4911148 8594509 17189018 34378036