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2934247680 = 28345713311
BaseRepresentation
bin1010111011100101…
…0001000100000000
321120111022020010000
42232321101010000
522002131411210
61203055040000
7132466456650
oct25671210400
97514266100
102934247680
111276340791
1269a810000
13379ba2240
141db9ac360
15122906ac0
hexaee51100

2934247680 has 720 divisors, whose sum is σ = 12963734784. Its totient is φ = 617103360.

The previous prime is 2934247571. The next prime is 2934247699. The reversal of 2934247680 is 867424392.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9434725 + ... + 9435035.

Almost surely, 22934247680 is an apocalyptic number.

2934247680 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 2934247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481867392).

2934247680 is an abundant number, since it is smaller than the sum of its proper divisors (10029487104).

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

2934247680 is a wasteful number, since it uses less digits than its factorization.

2934247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2934247680 is about 54168.6964953007. The cubic root of 2934247680 is about 1431.6348329728.

The spelling of 2934247680 in words is "two billion, nine hundred thirty-four million, two hundred forty-seven thousand, six hundred eighty".