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2634634240 = 21057195373
BaseRepresentation
bin1001110100001001…
…0101010000000000
320210121112021201221
42131002111100000
520343431243430
61113233204424
7122201010250
oct23502252000
96717467657
102634634240
111132200777
12616400714
1332caab394
141adc99960
1510647257a
hex9d095400

2634634240 has 352 divisors, whose sum is σ = 7852619520. Its totient is φ = 828112896.

The previous prime is 2634634229. The next prime is 2634634267. The reversal of 2634634240 is 424364362.

It is a junction number, because it is equal to n+sod(n) for n = 2634634196 and 2634634205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36090844 + ... + 36090916.

Almost surely, 22634634240 is an apocalyptic number.

2634634240 is a gapful number since it is divisible by the number (20) 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 2634634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926309760).

2634634240 is an abundant number, since it is smaller than the sum of its proper divisors (5217985280).

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

2634634240 is a wasteful number, since it uses less digits than its factorization.

2634634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The square root of 2634634240 is about 51328.6882746871. The cubic root of 2634634240 is about 1381.1476555415.

The spelling of 2634634240 in words is "two billion, six hundred thirty-four million, six hundred thirty-four thousand, two hundred forty".