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1330297344 = 293432077
BaseRepresentation
bin100111101001010…
…1011101000000000
310102201012002220000
41033102223220000
510211024003334
6340000520000
744652224625
oct11722535000
93381162800
101330297344
11622a110a2
12311620000
131827b53bc
14c896a34c
157bbc7299
hex4f4aba00

1330297344 has 100 divisors (see below), whose sum is σ = 3970711074. Its totient is φ = 443418624.

The previous prime is 1330297337. The next prime is 1330297351. The reversal of 1330297344 is 4437920331.

1330297344 is a `hidden beast` number, since 1 + 3 + 302 + 9 + 7 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (1330297337) and next prime (1330297351).

It can be written as a sum of positive squares in only one way, i.e., 709689600 + 620607744 = 26640^2 + 24912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1330297299 and 1330297308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25434 + ... + 57510.

Almost surely, 21330297344 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 1330297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985355537).

1330297344 is an abundant number, since it is smaller than the sum of its proper divisors (2640413730).

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

1330297344 is an frugal number, since it uses more digits than its factorization.

1330297344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32107 (or 32082 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 1330297344 is about 36473.2414791995. The cubic root of 1330297344 is about 1099.8063967813.

The spelling of 1330297344 in words is "one billion, three hundred thirty million, two hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 32077 41472 64154 96231 128308 192462 256616 288693 384924 513232 577386 769848 866079 1026464 1154772 1539696 1732158 2052928 2309544 2598237 3079392 3464316 4105856 4619088 5196474 6158784 6928632 8211712 9238176 10392948 12317568 13857264 16423424 18476352 20785896 24635136 27714528 36952704 41571792 49270272 55429056 73905408 83143584 110858112 147810816 166287168 221716224 332574336 443432448 665148672 1330297344