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2914383780 = 223357211171931
BaseRepresentation
bin1010110110110101…
…1111011110100100
321112002221000222000
42231231133132210
521432040240110
61201105205300
7132135565500
oct25555373644
97462830860
102914383780
111266103740
12694030830
13375a38a59
141d90bb300
15120cd11c0
hexadb5f7a4

2914383780 has 1152 divisors, whose sum is σ = 13237862400. Its totient is φ = 522547200.

The previous prime is 2914383737. The next prime is 2914383803. The reversal of 2914383780 is 873834192.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 94012365 + ... + 94012395.

It is an arithmetic number, because the mean of its divisors is an integer number (11491200).

Almost surely, 22914383780 is an apocalyptic number.

2914383780 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 2914383780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618931200).

2914383780 is an abundant number, since it is smaller than the sum of its proper divisors (10323478620).

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

2914383780 is a wasteful number, since it uses less digits than its factorization.

2914383780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2914383780 is about 53985.0329258027. The cubic root of 2914383780 is about 1428.3969484715.

The spelling of 2914383780 in words is "two billion, nine hundred fourteen million, three hundred eighty-three thousand, seven hundred eighty".