Search a number
-
+
1304076544 = 28372612
BaseRepresentation
bin100110110111010…
…1010000100000000
310100212211221201021
41031232222010000
510132320422134
6333222515224
744213316301
oct11556520400
93325757637
101304076544
1160a132011
12304895b14
1317a234634
14c52a27a8
15797480b4
hex4dbaa100

1304076544 has 81 divisors (see below), whose sum is σ = 2719889991. Its totient is φ = 624015360.

The previous prime is 1304076503. The next prime is 1304076547. The reversal of 1304076544 is 4456704031.

The square root of 1304076544 is 36112.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28729600 + 1275346944 = 5360^2 + 35712^2 .

It is a super-2 number, since 2×13040765442 = 3401231265221967872, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1304076547) 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, 21378274 + ... + 21378334.

Almost surely, 21304076544 is an apocalyptic number.

1304076544 is the 36112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304076544

1304076544 is an abundant number, since it is smaller than the sum of its proper divisors (1415813447).

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

1304076544 is an frugal number, since it uses more digits than its factorization.

1304076544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The cubic root of 1304076544 is about 1092.5324904154.

The spelling of 1304076544 in words is "one billion, three hundred four million, seventy-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 37 61 64 74 122 128 148 244 256 296 488 592 976 1184 1369 1952 2257 2368 2738 3721 3904 4514 4736 5476 7442 7808 9028 9472 10952 14884 15616 18056 21904 29768 36112 43808 59536 72224 83509 87616 119072 137677 144448 167018 175232 238144 275354 288896 334036 350464 476288 550708 577792 668072 952576 1101416 1336144 2202832 2672288 4405664 5094049 5344576 8811328 10188098 10689152 17622656 20376196 21378304 35245312 40752392 81504784 163009568 326019136 652038272 1304076544