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2334041088 = 21033124509
BaseRepresentation
bin1000101100011110…
…1010010000000000
320000122220120110020
42023013222100000
514240003303323
61023334333440
7111561010341
oct21307522000
96018816406
102334041088
11a98561685
125517ba280
132b2733602
14181db00c8
15d9d97ae3
hex8b1ea400

2334041088 has 88 divisors (see below), whose sum is σ = 6422012160. Its totient is φ = 752885760.

The previous prime is 2334041069. The next prime is 2334041093. The reversal of 2334041088 is 8801404332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82978 + ... + 107486.

Almost surely, 22334041088 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 2334041088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211006080).

2334041088 is an abundant number, since it is smaller than the sum of its proper divisors (4087971072).

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

2334041088 is a wasteful number, since it uses less digits than its factorization.

2334041088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24563 (or 24545 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2334041088 is about 48311.9145553144. The cubic root of 2334041088 is about 1326.4864936615.

The spelling of 2334041088 in words is "two billion, three hundred thirty-four million, forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2976 3072 3968 5952 7936 11904 15872 23808 24509 31744 47616 49018 73527 95232 98036 147054 196072 294108 392144 588216 759779 784288 1176432 1519558 1568576 2279337 2352864 3039116 3137152 4558674 4705728 6078232 6274304 9117348 9411456 12156464 12548608 18234696 18822912 24312928 25097216 36469392 37645824 48625856 72938784 75291648 97251712 145877568 194503424 291755136 389006848 583510272 778013696 1167020544 2334041088