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190440384 = 2634432239
BaseRepresentation
bin10110101100111…
…10001111000000
3111021100101002120
423112132033000
5342223043014
630521444240
74501500531
oct1326361700
9437311076
10190440384
1198553752
1253940680
13305bb024
141b414688
1511abbba9
hexb59e3c0

190440384 has 56 divisors (see below), whose sum is σ = 505236480. Its totient is φ = 63308544.

The previous prime is 190440373. The next prime is 190440403. The reversal of 190440384 is 483044091.

It is a happy number.

190440384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83937 + ... + 86175.

It is an arithmetic number, because the mean of its divisors is an integer number (9022080).

Almost surely, 2190440384 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 190440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252618240).

190440384 is an abundant number, since it is smaller than the sum of its proper divisors (314796096).

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

190440384 is a wasteful number, since it uses less digits than its factorization.

190440384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 190440384 is about 13800.0139130365. The cubic root of 190440384 is about 575.3335269802. Note that the first 3 decimals are identical.

The spelling of 190440384 in words is "one hundred ninety million, four hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 443 886 1329 1772 2239 2658 3544 4478 5316 6717 7088 8956 10632 13434 14176 17912 21264 26868 28352 35824 42528 53736 71648 85056 107472 143296 214944 429888 991877 1983754 2975631 3967508 5951262 7935016 11902524 15870032 23805048 31740064 47610096 63480128 95220192 190440384