Search a number
-
+
3671390464 = 28725412
BaseRepresentation
bin1101101011010100…
…1111100100000000
3100110212100221220121
43122311033210000
530004333443324
61404150350024
7156660206200
oct33265174400
910425327817
103671390464
111614449aa5
1286565b314
134668177c1
1426b854400
151674b45e4
hexdad4f900

3671390464 has 81 divisors (see below), whose sum is σ = 8540706321. Its totient is φ = 1570544640.

The previous prime is 3671390449. The next prime is 3671390467. The reversal of 3671390464 is 4640931763.

The square root of 3671390464 is 60592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1458628864 + 2212761600 = 38192^2 + 47040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3671390464.

It is not an unprimeable number, because it can be changed into a prime (3671390467) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6786034 + ... + 6786574.

Almost surely, 23671390464 is an apocalyptic number.

3671390464 is the 60592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3671390464

3671390464 is an abundant number, since it is smaller than the sum of its proper divisors (4869315857).

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

3671390464 is an frugal number, since it uses more digits than its factorization.

3671390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The cubic root of 3671390464 is about 1542.6835853631.

The spelling of 3671390464 in words is "three billion, six hundred seventy-one million, three hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 541 784 896 1082 1568 1792 2164 3136 3787 4328 6272 7574 8656 12544 15148 17312 26509 30296 34624 53018 60592 69248 106036 121184 138496 212072 242368 292681 424144 484736 585362 848288 969472 1170724 1696576 2048767 2341448 3393152 4097534 4682896 6786304 8195068 9365792 14341369 16390136 18731584 28682738 32780272 37463168 57365476 65560544 74926336 114730952 131121088 229461904 262242176 458923808 524484352 917847616 1835695232 3671390464