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1894134352 = 241153251809
BaseRepresentation
bin111000011100110…
…0011001001010000
311220000010222212011
41300321203021100
512334344244402
6511541512304
764636606405
oct16071431120
94800128764
101894134352
1189220a1a0
1244a412694
1324255ba76
1413d7bc2ac
15b144eed7
hex70e63250

1894134352 has 80 divisors (see below), whose sum is σ = 4100362560. Its totient is φ = 840320000.

The previous prime is 1894134329. The next prime is 1894134353. The reversal of 1894134352 is 2534314981.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1894134353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2340924 + ... + 2341732.

It is an arithmetic number, because the mean of its divisors is an integer number (51254532).

Almost surely, 21894134352 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 1894134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050181280).

1894134352 is an abundant number, since it is smaller than the sum of its proper divisors (2206228208).

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

1894134352 is a wasteful number, since it uses less digits than its factorization.

1894134352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1126 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 1894134352 is about 43521.6538288701. The cubic root of 1894134352 is about 1237.2864595251.

The spelling of 1894134352 in words is "one billion, eight hundred ninety-four million, one hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 251 424 502 583 809 848 1004 1166 1618 2008 2332 2761 3236 4016 4664 5522 6472 8899 9328 11044 12944 13303 17798 22088 26606 35596 42877 44176 53212 71192 85754 106424 142384 146333 171508 203059 212848 292666 343016 406118 471647 585332 686032 812236 943294 1170664 1624472 1886588 2233649 2341328 3248944 3773176 4467298 7546352 8934596 10762127 17869192 21524254 35738384 43048508 86097016 118383397 172194032 236766794 473533588 947067176 1894134352