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1084940032 = 2811419397
BaseRepresentation
bin100000010101010…
…1101111100000000
32210121111122221011
41000222231330000
54210221040112
6255354010304
735612560321
oct10052557400
92717448834
101084940032
11507469560
12263416994
13143a09c67
14a413c448
15653adaa7
hex40aadf00

1084940032 has 72 divisors (see below), whose sum is σ = 2420398512. Its totient is φ = 481075200.

The previous prime is 1084940023. The next prime is 1084940069. The reversal of 1084940032 is 2300494801.

It is a super-2 number, since 2×10849400322 = 2354189746072322048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1084939976 and 1084940003.

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, 110758 + ... + 120154.

It is an arithmetic number, because the mean of its divisors is an integer number (33616646).

Almost surely, 21084940032 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 1084940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210199256).

1084940032 is an abundant number, since it is smaller than the sum of its proper divisors (1335458480).

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

1084940032 is an equidigital number, since it uses as much as digits as its factorization.

1084940032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9465 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1084940032 is about 32938.4278920534. The cubic root of 1084940032 is about 1027.5475103879.

The spelling of 1084940032 in words is "one billion, eighty-four million, nine hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 656 704 902 1312 1408 1804 2624 2816 3608 5248 7216 9397 10496 14432 18794 28864 37588 57728 75176 103367 115456 150352 206734 300704 385277 413468 601408 770554 826936 1202816 1541108 1653872 2405632 3082216 3307744 4238047 6164432 6615488 8476094 12328864 13230976 16952188 24657728 26461952 33904376 49315456 67808752 98630912 135617504 271235008 542470016 1084940032