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3348705424 = 24172232372
BaseRepresentation
bin1100011110011001…
…0011000010010000
322122101011212020211
43013212103002100
523324232033144
61312142213504
7145661345401
oct30746230220
98571155224
103348705424
111469290a49
12795584294
13414a063cc
1423aa579a8
15148ec4034
hexc7993090

3348705424 has 135 divisors (see below), whose sum is σ = 7404901707. Its totient is φ = 1466606592.

The previous prime is 3348705379. The next prime is 3348705457. The reversal of 3348705424 is 4245078433.

It is a happy number.

The square root of 3348705424 is 57868.

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 1557723024 + 1790982400 = 39468^2 + 42320^2 .

It is a super-2 number, since 2×33487054242 = 22427656033454039552, which contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 90505534 + ... + 90505570.

Almost surely, 23348705424 is an apocalyptic number.

3348705424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3348705424 is the 57868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3348705424

3348705424 is an abundant number, since it is smaller than the sum of its proper divisors (4056196283).

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

3348705424 is a wasteful number, since it uses less digits than its factorization.

3348705424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The cubic root of 3348705424 is about 1496.0943466669.

The spelling of 3348705424 in words is "three billion, three hundred forty-eight million, seven hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 23 34 37 46 68 74 92 136 148 184 272 289 296 368 391 529 578 592 629 782 851 1058 1156 1258 1369 1564 1702 2116 2312 2516 2738 3128 3404 4232 4624 5032 5476 6256 6647 6808 8464 8993 10064 10693 10952 13294 13616 14467 17986 19573 21386 21904 23273 26588 28934 31487 35972 39146 42772 46546 53176 57868 62974 71944 78292 85544 93092 106352 115736 125948 143888 152881 156584 171088 186184 231472 245939 251896 305762 313168 332741 372368 395641 491878 503792 535279 611524 665482 724201 791282 983756 1070558 1223048 1330964 1448402 1582564 1967512 2141116 2446096 2661928 2896804 3165128 3935024 4282232 5323856 5656597 5793608 6330256 8564464 9099743 11313194 11587216 12311417 18199486 22626388 24622834 36398972 45252776 49245668 72797944 90505552 98491336 145595888 196982672 209294089 418588178 837176356 1674352712 3348705424