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2041640304 = 243115477069
BaseRepresentation
bin111100110110000…
…1111010101110000
312021021201001222120
41321230033111300
513140124442204
6534331234240
7101410441044
oct17154172560
95237631876
102041640304
119584a8640
1248b8a8980
13266c966b2
14155218024
15be38a6d9
hex79b0f570

2041640304 has 80 divisors (see below), whose sum is σ = 5765047680. Its totient is φ = 617460480.

The previous prime is 2041640273. The next prime is 2041640311. The reversal of 2041640304 is 4030461402.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285282 + ... + 292350.

It is an arithmetic number, because the mean of its divisors is an integer number (72063096).

Almost surely, 22041640304 is an apocalyptic number.

2041640304 is a gapful number since it is divisible by the number (24) 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 2041640304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882523840).

2041640304 is an abundant number, since it is smaller than the sum of its proper divisors (3723407376).

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

2041640304 is a wasteful number, since it uses less digits than its factorization.

2041640304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2041640304 is about 45184.5139843287. The cubic root of 2041640304 is about 1268.6049749091.

The spelling of 2041640304 in words is "two billion, forty-one million, six hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 547 1094 1641 2188 3282 4376 6017 6564 7069 8752 12034 13128 14138 18051 21207 24068 26256 28276 36102 42414 48136 56552 72204 77759 84828 96272 113104 144408 155518 169656 233277 288816 311036 339312 466554 622072 933108 1244144 1866216 3732432 3866743 7733486 11600229 15466972 23200458 30933944 42534173 46400916 61867888 85068346 92801832 127602519 170136692 185603664 255205038 340273384 510410076 680546768 1020820152 2041640304