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2134410432 = 263711592447
BaseRepresentation
bin111111100111000…
…1000010011000000
312111202021021200020
41333032020103000
513332402113212
6551443453440
7103615121640
oct17716102300
95452237606
102134410432
119a5901170
124b6987280
1328027846b
14163686520
15c75b2d8c
hex7f3884c0

2134410432 has 224 divisors, whose sum is σ = 7163043840. Its totient is φ = 544773120.

The previous prime is 2134410337. The next prime is 2134410433. The reversal of 2134410432 is 2340144312.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2134410433) 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, 871033 + ... + 873479.

Almost surely, 22134410432 is an apocalyptic number.

2134410432 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 2134410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581521920).

2134410432 is an abundant number, since it is smaller than the sum of its proper divisors (5028633408).

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

2134410432 is a wasteful number, since it uses less digits than its factorization.

2134410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2134410432 is about 46199.6799988918. The cubic root of 2134410432 is about 1287.5357945495.

Adding to 2134410432 its reverse (2340144312), we get a palindrome (4474554744).

The spelling of 2134410432 in words is "two billion, one hundred thirty-four million, four hundred ten thousand, four hundred thirty-two".