Search a number
-
+
643040370 = 234571947127
BaseRepresentation
bin100110010101000…
…000010001110010
31122210222211120000
4212111000101302
52304104242440
6143450330430
721635516160
oct4625002162
91583884500
10643040370
112aaa85825
1215b429a16
13a32b827b
146158c230
153b6c0730
hex26540472

643040370 has 320 divisors, whose sum is σ = 2141061120. Its totient is φ = 135209088.

The previous prime is 643040369. The next prime is 643040381. The reversal of 643040370 is 73040346.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5063247 + ... + 5063373.

It is an arithmetic number, because the mean of its divisors is an integer number (6690816).

Almost surely, 2643040370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643040370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070530560).

643040370 is an abundant number, since it is smaller than the sum of its proper divisors (1498020750).

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

643040370 is a wasteful number, since it uses less digits than its factorization.

643040370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 643040370 is about 25358.2406724126. The cubic root of 643040370 is about 863.1363621275.

The spelling of 643040370 in words is "six hundred forty-three million, forty thousand, three hundred seventy".