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2394994932 = 2233116133049
BaseRepresentation
bin1000111011000000…
…1011100011110100
320011220121100102000
42032300023203310
514401104314212
61033353015300
7113231056341
oct21660134364
96156540360
102394994932
111019a04160
1256a0b4530
132c2255785
1418a1197c8
15e03d81dc
hex8ec0b8f4

2394994932 has 96 divisors (see below), whose sum is σ = 6884976000. Its totient is φ = 713836800.

The previous prime is 2394994919. The next prime is 2394994939.

2394994932 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2394994939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55944 + ... + 88992.

It is an arithmetic number, because the mean of its divisors is an integer number (71718500).

Almost surely, 22394994932 is an apocalyptic number.

2394994932 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2394994932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442488000).

2394994932 is an abundant number, since it is smaller than the sum of its proper divisors (4489981068).

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

2394994932 is a wasteful number, since it uses less digits than its factorization.

2394994932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33134 (or 33126 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 2394994932 is about 48938.6854339182. The cubic root of 2394994932 is about 1337.9345420329.

The spelling of 2394994932 in words is "two billion, three hundred ninety-four million, nine hundred ninety-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 366 396 549 594 671 732 1098 1188 1342 1647 2013 2196 2684 3294 4026 6039 6588 8052 12078 18117 24156 33049 36234 66098 72468 99147 132196 198294 297441 363539 396588 594882 727078 892323 1090617 1189764 1454156 1784646 2015989 2181234 3271851 3569292 4031978 4362468 6047967 6543702 8063956 9815553 12095934 13087404 18143901 19631106 22175879 24191868 36287802 39262212 44351758 54431703 66527637 72575604 88703516 108863406 133055274 199582911 217726812 266110548 399165822 598748733 798331644 1197497466 2394994932