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3301411020 = 2235417511787
BaseRepresentation
bin1100010011000111…
…1000100011001100
322112002012001112020
43010301320203030
523230130123040
61303332410140
7144545350005
oct30461704314
98462161466
103301411020
111444618a66
12781776950
13407c8765b
142346661ac
15144c80cd0
hexc4c788cc

3301411020 has 96 divisors (see below), whose sum is σ = 9487328256. Its totient is φ = 857280000.

The previous prime is 3301411019. The next prime is 3301411031. The reversal of 3301411020 is 201141033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1846567 + ... + 1848353.

It is an arithmetic number, because the mean of its divisors is an integer number (98826336).

Almost surely, 23301411020 is an apocalyptic number.

3301411020 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 3301411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743664128).

3301411020 is an abundant number, since it is smaller than the sum of its proper divisors (6185917236).

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

3301411020 is a wasteful number, since it uses less digits than its factorization.

3301411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3301411020 is about 57457.9065055454. The cubic root of 3301411020 is about 1489.0177181125.

Adding to 3301411020 its reverse (201141033), we get a palindrome (3502552053).

The spelling of 3301411020 in words is "three billion, three hundred one million, four hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 751 820 1230 1502 1787 2253 2460 3004 3574 3755 4506 5361 7148 7510 8935 9012 10722 11265 15020 17870 21444 22530 26805 30791 35740 45060 53610 61582 73267 92373 107220 123164 146534 153955 184746 219801 293068 307910 366335 369492 439602 461865 615820 732670 879204 923730 1099005 1342037 1465340 1847460 2198010 2684074 4026111 4396020 5368148 6710185 8052222 13420370 16104444 20130555 26840740 40261110 55023517 80522220 110047034 165070551 220094068 275117585 330141102 550235170 660282204 825352755 1100470340 1650705510 3301411020