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3482994432 = 28316327823
BaseRepresentation
bin1100111110011010…
…0100011100000000
322222201212110010210
43033212210130000
524113121310212
61333340354120
7152211651501
oct31746443400
98881773123
103482994432
1115280722a5
12812545940
13436794168
14250812ba8
15155b9d53c
hexcf9a4700

3482994432 has 72 divisors (see below), whose sum is σ = 9327049984. Its totient is φ = 1153833984.

The previous prime is 3482994421. The next prime is 3482994497. The reversal of 3482994432 is 2344992843.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 111273 + ... + 139095.

Almost surely, 23482994432 is an apocalyptic number.

3482994432 is a gapful number since it is divisible by the number (32) 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 3482994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663524992).

3482994432 is an abundant number, since it is smaller than the sum of its proper divisors (5844055552).

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

3482994432 is a wasteful number, since it uses less digits than its factorization.

3482994432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28005 (or 27991 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 3482994432 is about 59016.8995458081. The cubic root of 3482994432 is about 1515.8314964146.

The spelling of 3482994432 in words is "three billion, four hundred eighty-two million, nine hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 256 326 384 489 652 768 978 1304 1956 2608 3912 5216 7824 10432 15648 20864 27823 31296 41728 55646 62592 83469 111292 125184 166938 222584 333876 445168 667752 890336 1335504 1780672 2671008 3561344 4535149 5342016 7122688 9070298 10684032 13605447 18140596 21368064 27210894 36281192 54421788 72562384 108843576 145124768 217687152 290249536 435374304 580499072 870748608 1160998144 1741497216 3482994432