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270670464 = 2733172271
BaseRepresentation
bin10000001000100…
…001101010000000
3200212022111002000
4100020201222000
51023242423324
642505224000
76464442501
oct2010415200
9625274060
10270670464
111298717a9
1276792000
13440cc04c
1427d3aba8
1518b689c9
hex10221a80

270670464 has 192 divisors, whose sum is σ = 851740800. Its totient is φ = 84602880.

The previous prime is 270670451. The next prime is 270670501. The reversal of 270670464 is 464076072.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998649 + ... + 998919.

It is an arithmetic number, because the mean of its divisors is an integer number (4436150).

Almost surely, 2270670464 is an apocalyptic number.

270670464 is a gapful number since it is divisible by the number (24) 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 270670464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425870400).

270670464 is an abundant number, since it is smaller than the sum of its proper divisors (581070336).

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

270670464 is a wasteful number, since it uses less digits than its factorization.

270670464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 270670464 is about 16452.0656453833. The cubic root of 270670464 is about 646.8649540133.

The spelling of 270670464 in words is "two hundred seventy million, six hundred seventy thousand, four hundred sixty-four".