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3423333248 = 27172373937
BaseRepresentation
bin1100110000001011…
…1110101110000000
322211120121100101022
43030002332232000
524002333130443
61323405525012
7150555565256
oct31402765600
98746540338
103423333248
1114a7422a35
127b6573768
1342730549a
142469225d6
15150815e68
hexcc0beb80

3423333248 has 128 divisors (see below), whose sum is σ = 7646425920. Its totient is φ = 1518206976.

The previous prime is 3423333247. The next prime is 3423333269. The reversal of 3423333248 is 8423333243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423333247) 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, 3653036 + ... + 3653972.

Almost surely, 23423333248 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 3423333248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823212960).

3423333248 is an abundant number, since it is smaller than the sum of its proper divisors (4223092672).

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

3423333248 is a wasteful number, since it uses less digits than its factorization.

3423333248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1052 counting only the distinct ones).

The product of its digits is 124416, while the sum is 35.

The square root of 3423333248 is about 58509.2577973777. The cubic root of 3423333248 is about 1507.1265689076.

The spelling of 3423333248 in words is "three billion, four hundred twenty-three million, three hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 73 92 128 136 146 184 272 292 368 391 544 584 736 782 937 1088 1168 1241 1472 1564 1679 1874 2176 2336 2482 2944 3128 3358 3748 4672 4964 6256 6716 7496 9344 9928 12512 13432 14992 15929 19856 21551 25024 26864 28543 29984 31858 39712 43102 50048 53728 57086 59968 63716 68401 79424 86204 107456 114172 119936 127432 136802 158848 172408 214912 228344 254864 273604 344816 366367 456688 509728 547208 689632 732734 913376 1019456 1094416 1162817 1379264 1465468 1573223 1826752 2038912 2188832 2325634 2758528 2930936 3146446 3653504 4377664 4651268 5861872 6292892 8755328 9302536 11723744 12585784 18605072 23447488 25171568 26744791 37210144 46894976 50343136 53489582 74420288 100686272 106979164 148840576 201372544 213958328 427916656 855833312 1711666624 3423333248