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1090304384 = 27131738543
BaseRepresentation
bin100000011111100…
…1011100110000000
32210222121012102212
41000333023212000
54213104220014
6300105001252
736006301661
oct10077134600
92728535385
101090304384
1150a4a2904
12265183228
13144b67830
14a4b37368
1565abd23e
hex40fcb980

1090304384 has 64 divisors (see below), whose sum is σ = 2476837440. Its totient is φ = 473604096.

The previous prime is 1090304353. The next prime is 1090304399. The reversal of 1090304384 is 4834030901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1090304384.

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 7 ways as a sum of consecutive naturals, for example, 9017 + ... + 47559.

It is an arithmetic number, because the mean of its divisors is an integer number (38700585).

Almost surely, 21090304384 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 1090304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238418720).

1090304384 is an abundant number, since it is smaller than the sum of its proper divisors (1386533056).

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

1090304384 is a wasteful number, since it uses less digits than its factorization.

1090304384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38587 (or 38575 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 1090304384 is about 33019.7574794243. The cubic root of 1090304384 is about 1029.2382541391.

The spelling of 1090304384 in words is "one billion, ninety million, three hundred four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 7072 14144 28288 38543 77086 154172 308344 501059 616688 655231 1002118 1233376 1310462 2004236 2466752 2620924 4008472 4933504 5241848 8016944 8518003 10483696 16033888 17036006 20967392 32067776 34072012 41934784 64135552 68144024 83869568 136288048 272576096 545152192 1090304384