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30378138 = 237329509
BaseRepresentation
bin111001111100…
…0100010011010
32010011100222020
41303320202122
530234100023
63003035310
7516132000
oct163704232
963140866
1030378138
11161695aa
12a20bb36
1363a813b
14406aa70
152a00de3
hex1cf889a

30378138 has 64 divisors (see below), whose sum is σ = 73440000. Its totient is φ = 8363712.

The previous prime is 30378119. The next prime is 30378143. The reversal of 30378138 is 83187303.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30378099 and 30378108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59428 + ... + 59936.

It is an arithmetic number, because the mean of its divisors is an integer number (1147500).

Almost surely, 230378138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30378138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36720000).

30378138 is an abundant number, since it is smaller than the sum of its proper divisors (43061862).

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

30378138 is a wasteful number, since it uses less digits than its factorization.

30378138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 30378138 is about 5511.6365990511. The cubic root of 30378138 is about 312.0233176196.

It can be divided in two parts, 3037 and 8138, that added together give a triangular number (11175 = T149).

The spelling of 30378138 in words is "thirty million, three hundred seventy-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 343 406 509 609 686 1018 1029 1218 1421 1527 2058 2842 3054 3563 4263 7126 8526 9947 10689 14761 19894 21378 24941 29522 29841 44283 49882 59682 74823 88566 103327 149646 174587 206654 309981 349174 523761 619962 723289 1047522 1446578 2169867 4339734 5063023 10126046 15189069 30378138