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2405104340 = 225376153281
BaseRepresentation
bin1000111101011010…
…1111101011010100
320012121121221220112
42033112233223110
514411201314330
61034353422152
7113413023002
oct21726575324
96177557815
102405104340
111024689541
1257156a958
132c4385082
1418b5cba72
15e1233795
hex8f5afad4

2405104340 has 48 divisors (see below), whose sum is σ = 5272360464. Its totient is φ = 920678400.

The previous prime is 2405104327. The next prime is 2405104367. The reversal of 2405104340 is 434015042.

It can be written as a sum of positive squares in 8 ways, for example, as 37503376 + 2367600964 = 6124^2 + 48658^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18500 + ... + 71780.

It is an arithmetic number, because the mean of its divisors is an integer number (109840843).

Almost surely, 22405104340 is an apocalyptic number.

2405104340 is a gapful number since it is divisible by the number (20) 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 2405104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636180232).

2405104340 is an abundant number, since it is smaller than the sum of its proper divisors (2867256124).

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

2405104340 is a wasteful number, since it uses less digits than its factorization.

2405104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53388 (or 53386 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2405104340 is about 49041.8631375277. The cubic root of 2405104340 is about 1339.8143984417.

Adding to 2405104340 its reverse (434015042), we get a palindrome (2839119382).

The spelling of 2405104340 in words is "two billion, four hundred five million, one hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1220 2257 4514 9028 11285 22570 45140 53281 106562 213124 266405 532810 1065620 1971397 3250141 3942794 6500282 7885588 9856985 13000564 16250705 19713970 32501410 39427940 65002820 120255217 240510434 481020868 601276085 1202552170 2405104340