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3002433104 = 2411172934603
BaseRepresentation
bin1011001011110101…
…0111111001010000
321202020121101221002
42302331113321100
522122110324404
61213532321132
7134255155166
oct26275277120
97666541832
103002433104
111300882480
126b96131a8
1338b056b48
14206a7b236
151288c4c1e
hexb2f57e50

3002433104 has 80 divisors (see below), whose sum is σ = 6951251520. Its totient is φ = 1240135680.

The previous prime is 3002433097. The next prime is 3002433127. The reversal of 3002433104 is 4013342003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69467 + ... + 104069.

It is an arithmetic number, because the mean of its divisors is an integer number (86890644).

Almost surely, 23002433104 is an apocalyptic number.

3002433104 is a gapful number since it is divisible by the number (34) 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 3002433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475625760).

3002433104 is an abundant number, since it is smaller than the sum of its proper divisors (3948818416).

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

3002433104 is a wasteful number, since it uses less digits than its factorization.

3002433104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34668 (or 34662 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3002433104 is about 54794.4623479417. The cubic root of 3002433104 is about 1442.6393697459.

Adding to 3002433104 its reverse (4013342003), we get a palindrome (7015775107).

The spelling of 3002433104 in words is "three billion, two million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 29 34 44 58 68 88 116 136 176 187 232 272 319 374 464 493 638 748 986 1276 1496 1972 2552 2992 3944 5104 5423 7888 10846 21692 34603 43384 69206 86768 138412 276824 380633 553648 588251 761266 1003487 1176502 1522532 2006974 2353004 3045064 4013948 4706008 6090128 6470761 8027896 9412016 11038357 12941522 16055792 17059279 22076714 25883044 34118558 44153428 51766088 68237116 88306856 103532176 136474232 176613712 187652069 272948464 375304138 750608276 1501216552 3002433104