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3354324144 = 2431941109823
BaseRepresentation
bin1100011111101110…
…1110110010110000
322122202202022200120
43013323232302300
523332201333034
61312502450240
7146060166453
oct30773566260
98582668616
103354324144
111471479416
12797433980
13415c229b2
1423b6bb49a
15149733c49
hexc7eeecb0

3354324144 has 160 divisors (see below), whose sum is σ = 9441062400. Its totient is φ = 1022699520.

The previous prime is 3354324137. The next prime is 3354324157. The reversal of 3354324144 is 4414234533.

It is a super-2 number, since 2×33543241442 = 22502980926042665472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4075317 + ... + 4076139.

It is an arithmetic number, because the mean of its divisors is an integer number (59006640).

Almost surely, 23354324144 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 3354324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720531200).

3354324144 is an abundant number, since it is smaller than the sum of its proper divisors (6086738256).

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

3354324144 is a wasteful number, since it uses less digits than its factorization.

3354324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

The product of its digits is 69120, while the sum is 33.

The square root of 3354324144 is about 57916.5273820867. The cubic root of 3354324144 is about 1496.9306338337.

Adding to 3354324144 its reverse (4414234533), we get a palindrome (7768558677).

The spelling of 3354324144 in words is "three billion, three hundred fifty-four million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 109 114 123 152 164 218 228 246 304 327 328 436 456 492 654 656 779 823 872 912 984 1308 1558 1646 1744 1968 2071 2337 2469 2616 3116 3292 4142 4469 4674 4938 5232 6213 6232 6584 8284 8938 9348 9876 12426 12464 13168 13407 15637 16568 17876 18696 19752 24852 26814 31274 33136 33743 35752 37392 39504 46911 49704 53628 62548 67486 71504 84911 89707 93822 99408 101229 107256 125096 134972 169822 179414 187644 202458 214512 250192 254733 269121 269944 339644 358828 375288 404916 509466 538242 539888 641117 679288 717656 750576 809832 1018932 1076484 1282234 1358576 1435312 1619664 1704433 1923351 2037864 2152968 2564468 3408866 3677987 3846702 4075728 4305936 5113299 5128936 6817732 7355974 7693404 10226598 10257872 11033961 13635464 14711948 15386808 20453196 22067922 27270928 29423896 30773616 40906392 44135844 58847792 69881753 81812784 88271688 139763506 176543376 209645259 279527012 419290518 559054024 838581036 1118108048 1677162072 3354324144