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3013102440 = 2332517228961
BaseRepresentation
bin1011001110011000…
…0100101101101000
321202222200110111200
42303212010231220
522132323234230
61214553124200
7134444643135
oct26346045550
97688613450
103013102440
1113068aa507
127010b9660
1339032126a
1420825758c
151297d1160
hexb3984b68

3013102440 has 144 divisors (see below), whose sum is σ = 10402860780. Its totient is φ = 756203520.

The previous prime is 3013102361. The next prime is 3013102459. The reversal of 3013102440 is 442013103.

It can be written as a sum of positive squares in 6 ways, for example, as 2773286244 + 239816196 = 52662^2 + 15486^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89560 + ... + 118520.

Almost surely, 23013102440 is an apocalyptic number.

3013102440 is a gapful number since it is divisible by the number (30) 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 3013102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201430390).

3013102440 is an abundant number, since it is smaller than the sum of its proper divisors (7389758340).

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

3013102440 is a wasteful number, since it uses less digits than its factorization.

3013102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29012 (or 28988 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3013102440 is about 54891.7338039162. The cubic root of 3013102440 is about 1444.3461863383.

Adding to 3013102440 its reverse (442013103), we get a palindrome (3455115543).

The spelling of 3013102440 in words is "three billion, thirteen million, one hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 289 306 340 360 408 510 578 612 680 765 867 1020 1156 1224 1445 1530 1734 2040 2312 2601 2890 3060 3468 4335 5202 5780 6120 6936 8670 10404 11560 13005 17340 20808 26010 28961 34680 52020 57922 86883 104040 115844 144805 173766 231688 260649 289610 347532 434415 492337 521298 579220 695064 868830 984674 1042596 1158440 1303245 1477011 1737660 1969348 2085192 2461685 2606490 2954022 3475320 3938696 4431033 4923370 5212980 5908044 7385055 8369729 8862066 9846740 10425960 11816088 14770110 16739458 17724132 19693480 22155165 25109187 29540220 33478916 35448264 41848645 44310330 50218374 59080440 66957832 75327561 83697290 88620660 100436748 125545935 150655122 167394580 177241320 200873496 251091870 301310244 334789160 376637805 502183740 602620488 753275610 1004367480 1506551220 3013102440