[go: up one dir, main page]

Search a number
-
+
7300045312 = 2975338431
BaseRepresentation
bin1101100110001110…
…11101101000000000
3200211202022201120121
412303013131220000
5104422302422222
63204213150024
7345621234640
oct66307355000
920752281517
107300045312
11310675a0aa
1214b892b314
138c451b551
144d3742520
152cad365c7
hex1b31dda00

7300045312 has 80 divisors (see below), whose sum is σ = 16984484352. Its totient is φ = 3069480960.

The previous prime is 7300045297. The next prime is 7300045331. The reversal of 7300045312 is 2135400037.

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, 170737 + ... + 209167.

Almost surely, 27300045312 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 7300045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8492242176).

7300045312 is an abundant number, since it is smaller than the sum of its proper divisors (9684439040).

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

7300045312 is an equidigital number, since it uses as much as digits as its factorization.

7300045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38509 (or 38493 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 7300045312 is about 85440.3026211869. The cubic root of 7300045312 is about 1939.8814282581.

Adding to 7300045312 its reverse (2135400037), we get a palindrome (9435445349).

The spelling of 7300045312 in words is "seven billion, three hundred million, forty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 512 742 848 896 1484 1696 1792 2968 3392 3584 5936 6784 11872 13568 23744 27136 38431 47488 76862 94976 153724 189952 269017 307448 538034 614896 1076068 1229792 2036843 2152136 2459584 4073686 4304272 4919168 8147372 8608544 9838336 14257901 16294744 17217088 19676672 28515802 32589488 34434176 57031604 65178976 68868352 114063208 130357952 137736704 228126416 260715904 456252832 521431808 912505664 1042863616 1825011328 3650022656 7300045312