Search a number
-
+
1980045344 = 25238332413
BaseRepresentation
bin111011000000101…
…0001100000100000
312002222210201120202
41312001101200200
513023342422334
6524251124332
7100032051644
oct16601214040
95088721522
101980045344
11926758412
124731436a8
132572ab784
1414ad82c24
15b8c7017e
hex76051820

1980045344 has 48 divisors (see below), whose sum is σ = 4116837312. Its totient is φ = 935539968.

The previous prime is 1980045329. The next prime is 1980045359. The reversal of 1980045344 is 4435400891.

It is an interprime number because it is at equal distance from previous prime (1980045329) and next prime (1980045359).

It is a junction number, because it is equal to n+sod(n) for n = 1980045298 and 1980045307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44882 + ... + 77294.

It is an arithmetic number, because the mean of its divisors is an integer number (85767444).

Almost surely, 21980045344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058418656).

1980045344 is an abundant number, since it is smaller than the sum of its proper divisors (2136791968).

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

1980045344 is a wasteful number, since it uses less digits than its factorization.

1980045344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32529 (or 32521 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 1980045344 is about 44497.7004349663. The cubic root of 1980045344 is about 1255.7168212254.

The spelling of 1980045344 in words is "one billion, nine hundred eighty million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 83 92 166 184 332 368 664 736 1328 1909 2656 3818 7636 15272 30544 32413 61088 64826 129652 259304 518608 745499 1037216 1490998 2690279 2981996 5380558 5963992 10761116 11927984 21522232 23855968 43044464 61876417 86088928 123752834 247505668 495011336 990022672 1980045344