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3029420880 = 2432537113717
BaseRepresentation
bin1011010010010001…
…0100101101010000
321211010101112012100
42310210110231100
522201012432010
61220335000400
7135033436563
oct26444245520
97733345170
103029420880
111315035822
12706669100
13393815a45
1420a4a44da
1512ae562c0
hexb4914b50

3029420880 has 120 divisors (see below), whose sum is σ = 10448864712. Its totient is φ = 786004992.

The previous prime is 3029420837. The next prime is 3029420897. The reversal of 3029420880 is 880249203.

It can be written as a sum of positive squares in 4 ways, for example, as 1319432976 + 1709987904 = 36324^2 + 41352^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30219 + ... + 83498.

Almost surely, 23029420880 is an apocalyptic number.

3029420880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3029420880 is an abundant number, since it is smaller than the sum of its proper divisors (7419443832).

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

3029420880 is a wasteful number, since it uses less digits than its factorization.

3029420880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113773 (or 113764 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3029420880 is about 55040.1751450702. The cubic root of 3029420880 is about 1446.9489360747.

The spelling of 3029420880 in words is "three billion, twenty-nine million, four hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 113717 227434 341151 454868 568585 682302 909736 1023453 1137170 1364604 1705755 1819472 2046906 2274340 2729208 3411510 4093812 4207529 4548680 5117265 5458416 6823020 8187624 8415058 9097360 10234530 12622587 13646040 16375248 16830116 20469060 21037645 25245174 27292080 33660232 37867761 40938120 42075290 50490348 63112935 67320464 75735522 81876240 84150580 100980696 126225870 151471044 168301160 189338805 201961392 252451740 302942088 336602320 378677610 504903480 605884176 757355220 1009806960 1514710440 3029420880