Search a number
-
+
3489972912 = 243367711933
BaseRepresentation
bin1101000000000100…
…1100001010110000
3100000012222222211000
43100001030022300
524121413113122
61334150122000
7152325165066
oct32001141260
910005888730
103489972912
111530aa9338
12814950300
1343806863a
1425170c036
151565cb0ac
hexd004c2b0

3489972912 has 80 divisors (see below), whose sum is σ = 10033152480. Its totient is φ = 1161508608.

The previous prime is 3489972911. The next prime is 3489972943. The reversal of 3489972912 is 2192799843.

3489972912 is a `hidden beast` number, since 3 + 489 + 9 + 72 + 91 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3489972911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286498 + ... + 298430.

It is an arithmetic number, because the mean of its divisors is an integer number (125414406).

Almost surely, 23489972912 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 3489972912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016576240).

3489972912 is an abundant number, since it is smaller than the sum of its proper divisors (6543179568).

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

3489972912 is a wasteful number, since it uses less digits than its factorization.

3489972912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12627 (or 12615 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 3489972912 is about 59075.9926873853. The cubic root of 3489972912 is about 1516.8431874620.

The spelling of 3489972912 in words is "three billion, four hundred eighty-nine million, nine hundred seventy-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 677 1354 2031 2708 4062 5416 6093 8124 10832 11933 12186 16248 18279 23866 24372 32496 35799 36558 47732 48744 71598 73116 95464 97488 107397 143196 146232 190928 214794 286392 292464 322191 429588 572784 644382 859176 1288764 1718352 2577528 5155056 8078641 16157282 24235923 32314564 48471846 64629128 72707769 96943692 129258256 145415538 193887384 218123307 290831076 387774768 436246614 581662152 872493228 1163324304 1744986456 3489972912