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3354422344 = 2371329592693
BaseRepresentation
bin1100011111110000…
…0110110001001000
322122202221022101121
43013330012301020
523332213003334
61312504525024
7146061055660
oct30774066110
98582838347
103354422344
111471536179
12797480774
13415c585c0
1423b7051a0
15149752db4
hexc7f06c48

3354422344 has 128 divisors (see below), whose sum is σ = 8146656000. Its totient is φ = 1259080704.

The previous prime is 3354422297. The next prime is 3354422359. The reversal of 3354422344 is 4432244533.

It is a super-3 number, since 3×33544223443 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1244262 + ... + 1246954.

It is an arithmetic number, because the mean of its divisors is an integer number (63645750).

Almost surely, 23354422344 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 3354422344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073328000).

3354422344 is an abundant number, since it is smaller than the sum of its proper divisors (4792233656).

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

3354422344 is a wasteful number, since it uses less digits than its factorization.

3354422344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2803 counting only the distinct ones).

The product of its digits is 138240, while the sum is 34.

The square root of 3354422344 is about 57917.3751477050. The cubic root of 3354422344 is about 1496.9452415607.

Adding to 3354422344 its reverse (4432244533), we get a palindrome (7786666877).

The spelling of 3354422344 in words is "three billion, three hundred fifty-four million, four hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 59 91 104 116 118 182 203 232 236 364 377 406 413 472 728 754 767 812 826 1508 1534 1624 1652 1711 2639 2693 3016 3068 3304 3422 5278 5369 5386 6136 6844 10556 10738 10772 11977 13688 18851 21112 21476 21544 22243 23954 35009 37702 42952 44486 47908 70018 75404 78097 88972 95816 140036 150808 155701 156194 158887 177944 245063 280072 311402 312388 317774 490126 546679 622804 624776 635548 980252 1015261 1093358 1112209 1245608 1271096 1960504 2030522 2065531 2186716 2224418 4061044 4131062 4373432 4448836 4607723 7106827 8122088 8262124 8897672 9215446 14213654 14458717 16524248 18430892 28427308 28917434 32254061 36861784 56854616 57834868 59900399 64508122 115669736 119800798 129016244 239601596 258032488 419302793 479203192 838605586 1677211172 3354422344