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3334034112 = 26347536971
BaseRepresentation
bin1100011010111001…
…0101001011000000
322121100120110222220
43012232111023000
523312003042422
61310455531040
7145422552033
oct30656251300
98540513886
103334034112
111460a801a2
12790689a80
1341196a566
14238b1901a
15147a76e5c
hexc6b952c0

3334034112 has 112 divisors (see below), whose sum is σ = 9180283392. Its totient is φ = 1067023360.

The previous prime is 3334034083. The next prime is 3334034113. The reversal of 3334034112 is 2114304333.

It is a super-2 number, since 2×33340341122 = 22231566919959257088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3334034113) 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, 474787 + ... + 481757.

It is an arithmetic number, because the mean of its divisors is an integer number (81966816).

Almost surely, 23334034112 is an apocalyptic number.

3334034112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590141696).

3334034112 is an abundant number, since it is smaller than the sum of its proper divisors (5846249280).

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

3334034112 is a wasteful number, since it uses less digits than its factorization.

3334034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7086 (or 7076 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3334034112 is about 57741.0955213009. The cubic root of 3334034112 is about 1493.9062572788.

Adding to 3334034112 its reverse (2114304333), we get a palindrome (5448338445).

It can be divided in two parts, 3 and 334034112, that multiplied together give a square (1002102336 = 316562).

The spelling of 3334034112 in words is "three billion, three hundred thirty-four million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 53 64 94 96 106 141 159 188 192 212 282 318 376 424 564 636 752 848 1128 1272 1504 1696 2256 2491 2544 3008 3392 4512 4982 5088 6971 7473 9024 9964 10176 13942 14946 19928 20913 27884 29892 39856 41826 55768 59784 79712 83652 111536 119568 159424 167304 223072 239136 327637 334608 369463 446144 478272 655274 669216 738926 982911 1108389 1310548 1338432 1477852 1965822 2216778 2621096 2955704 3931644 4433556 5242192 5911408 7863288 8867112 10484384 11822816 15726576 17364761 17734224 20968768 23645632 31453152 34729522 35468448 52094283 62906304 69459044 70936896 104188566 138918088 208377132 277836176 416754264 555672352 833508528 1111344704 1667017056 3334034112