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2934583938 = 23311132233141
BaseRepresentation
bin1010111011101010…
…0011001010000010
321120111221022101000
42232322203022002
522002223141223
61203110152430
7132502360206
oct25672431202
97514838330
102934583938
111276550390
1269a952716
13379c8c300
141dba58b06
15122971543
hexaeea3282

2934583938 has 384 divisors, whose sum is σ = 8500101120. Its totient is φ = 741312000.

The previous prime is 2934583937. The next prime is 2934583943. The reversal of 2934583938 is 8393854392.

It is a happy number.

2934583938 is a `hidden beast` number, since 29 + 3 + 4 + 583 + 9 + 38 = 666.

It is a super-2 number, since 2×29345839382 = 17223565778335175688, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2934583931) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71575198 + ... + 71575238.

It is an arithmetic number, because the mean of its divisors is an integer number (22135680).

Almost surely, 22934583938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2934583938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250050560).

2934583938 is an abundant number, since it is smaller than the sum of its proper divisors (5565517182).

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

2934583938 is a wasteful number, since it uses less digits than its factorization.

2934583938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 2934583938 is about 54171.8002100724. The cubic root of 2934583938 is about 1431.6895182312.

The spelling of 2934583938 in words is "two billion, nine hundred thirty-four million, five hundred eighty-three thousand, nine hundred thirty-eight".