Search a number
-
+
1684942416 = 243211700989
BaseRepresentation
bin110010001101110…
…0010111001010000
311100102111221110200
41210123202321100
511422321124131
6435110055200
756516526363
oct14433427120
94312457420
101684942416
117951191a3
123b034a500
1320b106961
1411dac60da
159cdcc2e6
hex646e2e50

1684942416 has 30 divisors (see below), whose sum is σ = 4715498970. Its totient is φ = 561647424.

The previous prime is 1684942397. The next prime is 1684942421. The reversal of 1684942416 is 6142494861.

It can be written as a sum of positive squares in only one way, i.e., 1521000000 + 163942416 = 39000^2 + 12804^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5850351 + ... + 5850638.

It is an arithmetic number, because the mean of its divisors is an integer number (157183299).

Almost surely, 21684942416 is an apocalyptic number.

1684942416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1684942416 is an abundant number, since it is smaller than the sum of its proper divisors (3030556554).

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

1684942416 is a wasteful number, since it uses less digits than its factorization.

1684942416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11701003 (or 11700994 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1684942416 is about 41048.0500876716. The cubic root of 1684942416 is about 1189.9490164820.

The spelling of 1684942416 in words is "one billion, six hundred eighty-four million, nine hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 11700989 23401978 35102967 46803956 70205934 93607912 105308901 140411868 187215824 210617802 280823736 421235604 561647472 842471208 1684942416