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2938923000 = 233453132791
BaseRepresentation
bin1010111100101100…
…0110011111111000
321120211002202110000
42233023012133320
522004331014000
61203343153000
7132554301426
oct25713063770
97524082400
102938923000
111278a44392
126a02a5760
1337ab4b2c0
141dc468116
1512302c000
hexaf2c67f8

2938923000 has 320 divisors, whose sum is σ = 11067376320. Its totient is φ = 723168000.

The previous prime is 2938922989. The next prime is 2938923007. The reversal of 2938923000 is 3298392.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938923007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1051605 + ... + 1054395.

It is an arithmetic number, because the mean of its divisors is an integer number (34585551).

Almost surely, 22938923000 is an apocalyptic number.

2938923000 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 2938923000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533688160).

2938923000 is an abundant number, since it is smaller than the sum of its proper divisors (8128453320).

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

2938923000 is a wasteful number, since it uses less digits than its factorization.

2938923000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2938923000 is about 54211.8345013337. The cubic root of 2938923000 is about 1432.3948005309.

The spelling of 2938923000 in words is "two billion, nine hundred thirty-eight million, nine hundred twenty-three thousand".