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434104040680 = 2353727927393
BaseRepresentation
bin1100101000100101001…
…11011111110011101000
31112111111110100010210121
412110102213133303220
524103021113300210
6531231420053024
743235334315022
oct6242247376350
91474443303717
10434104040680
11158114460992
1270170694174
1331c2205187b
14170216c5012
15b45a9996da
hex65129dfce8

434104040680 has 48 divisors (see below), whose sum is σ = 1003845902220. Its totient is φ = 168948578304.

The previous prime is 434104040677. The next prime is 434104040771. The reversal of 434104040680 is 86040401434.

It can be written as a sum of positive squares in 6 ways, for example, as 424590379236 + 9513661444 = 651606^2 + 97538^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3908937 + ... + 4018456.

Almost surely, 2434104040680 is an apocalyptic number.

434104040680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434104040680 is an abundant number, since it is smaller than the sum of its proper divisors (569741861540).

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

434104040680 is a wasteful number, since it uses less digits than its factorization.

434104040680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927478 (or 7927437 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 434104040680 in words is "four hundred thirty-four billion, one hundred four million, forty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1369 1480 2738 5476 6845 10952 13690 27380 54760 7927393 15854786 31709572 39636965 63419144 79273930 158547860 293313541 317095720 586627082 1173254164 1466567705 2346508328 2933135410 5866270820 10852601017 11732541640 21705202034 43410404068 54263005085 86820808136 108526010170 217052020340 434104040680