Search a number
-
+
1354369984 = 26112238627
BaseRepresentation
bin101000010111010…
…0000101111000000
310111101111010100021
41100232200233000
510233204314414
6342220503224
745363645352
oct12056405700
93441433307
101354369984
11635563240
123196aab14
13187793476
14cbc350d2
157dd7ec24
hex50ba0bc0

1354369984 has 56 divisors (see below), whose sum is σ = 2945392128. Its totient is φ = 612791040.

The previous prime is 1354369979. The next prime is 1354369987. The reversal of 1354369984 is 4899634531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354369987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152679 + ... + 161305.

It is an arithmetic number, because the mean of its divisors is an integer number (52596288).

Almost surely, 21354369984 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 1354369984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472696064).

1354369984 is an abundant number, since it is smaller than the sum of its proper divisors (1591022144).

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

1354369984 is a wasteful number, since it uses less digits than its factorization.

1354369984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8873 (or 8863 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 52.

The square root of 1354369984 is about 36801.7660445800. The cubic root of 1354369984 is about 1106.4006954254.

The spelling of 1354369984 in words is "one billion, three hundred fifty-four million, three hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 223 352 446 704 892 1784 2453 3568 4906 7136 8627 9812 14272 17254 19624 34508 39248 69016 78496 94897 138032 156992 189794 276064 379588 552128 759176 1518352 1923821 3036704 3847642 6073408 7695284 15390568 21162031 30781136 42324062 61562272 84648124 123124544 169296248 338592496 677184992 1354369984