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3341476416 = 26383307683
BaseRepresentation
bin1100011100101010…
…1110001001000000
322121212120120220210
43013022232021000
523320404221131
61311323234120
7145543036515
oct30712561100
98555516823
103341476416
1114651a3763
12793078940
13413374ba5
14239ad530c
15148547146
hexc72ae240

3341476416 has 112 divisors (see below), whose sum is σ = 8989795584. Its totient is φ = 1095215616.

The previous prime is 3341476403. The next prime is 3341476417. The reversal of 3341476416 is 6146741433.

It is a super-2 number, since 2×33414764162 = 22330929277368410112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3341476417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4892011 + ... + 4892693.

It is an arithmetic number, because the mean of its divisors is an integer number (80266032).

Almost surely, 23341476416 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 3341476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494897792).

3341476416 is an abundant number, since it is smaller than the sum of its proper divisors (5648319168).

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

3341476416 is a wasteful number, since it uses less digits than its factorization.

3341476416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1078 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 3341476416 is about 57805.5050665592. The cubic root of 3341476416 is about 1495.0170079682.

The spelling of 3341476416 in words is "three billion, three hundred forty-one million, four hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 307 332 498 614 664 683 921 996 1228 1328 1366 1842 1992 2049 2456 2656 2732 3684 3984 4098 4912 5312 5464 7368 7968 8196 9824 10928 14736 15936 16392 19648 21856 25481 29472 32784 43712 50962 56689 58944 65568 76443 101924 113378 131136 152886 170067 203848 209681 226756 305772 340134 407696 419362 453512 611544 629043 680268 815392 838724 907024 1223088 1258086 1360536 1630784 1677448 1814048 2446176 2516172 2721072 3354896 3628096 4892352 5032344 5442144 6709792 10064688 10884288 13419584 17403523 20129376 34807046 40258752 52210569 69614092 104421138 139228184 208842276 278456368 417684552 556912736 835369104 1113825472 1670738208 3341476416