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870340464 = 24357113283
BaseRepresentation
bin110011111000000…
…101011101110000
32020122200212200000
4303320011131300
53240301343324
6222210230000
730365525520
oct6370053560
92218625600
10870340464
11407314744
12203585300
1310b410676
1483839680
155161d9c9
hex33e05770

870340464 has 240 divisors, whose sum is σ = 2922646272. Its totient is φ = 245597184.

The previous prime is 870340463. The next prime is 870340477. The reversal of 870340464 is 464043078.

870340464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (870340463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3075267 + ... + 3075549.

Almost surely, 2870340464 is an apocalyptic number.

870340464 is a gapful number since it is divisible by the number (84) 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 870340464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461323136).

870340464 is an abundant number, since it is smaller than the sum of its proper divisors (2052305808).

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

870340464 is a wasteful number, since it uses less digits than its factorization.

870340464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 870340464 is about 29501.5332482907. The cubic root of 870340464 is about 954.7647836781.

The spelling of 870340464 in words is "eight hundred seventy million, three hundred forty thousand, four hundred sixty-four".