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1800434340 = 2232583120511
BaseRepresentation
bin110101101010000…
…0111001010100100
311122110211112121100
41223110013022210
512141402344330
6454353320100
762421303465
oct15324071244
94573745540
101800434340
11844330a71
12422b66030
13229012983
1413118ad6c
15a80e2060
hex6b5072a4

1800434340 has 72 divisors (see below), whose sum is σ = 5527162368. Its totient is φ = 474327360.

The previous prime is 1800434329. The next prime is 1800434341. The reversal of 1800434340 is 434340081.

It is not an unprimeable number, because it can be changed into a prime (1800434341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45316 + ... + 75195.

It is an arithmetic number, because the mean of its divisors is an integer number (76766144).

Almost surely, 21800434340 is an apocalyptic number.

1800434340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1800434340 is an abundant number, since it is smaller than the sum of its proper divisors (3726728028).

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

1800434340 is a wasteful number, since it uses less digits than its factorization.

1800434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120609 (or 120604 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1800434340 is about 42431.5253084308. The cubic root of 1800434340 is about 1216.5382336021.

The spelling of 1800434340 in words is "one billion, eight hundred million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940 120511 241022 361533 482044 602555 723066 1084599 1205110 1446132 1807665 2169198 2410220 3615330 4338396 5422995 7230660 10002413 10845990 20004826 21691980 30007239 40009652 50012065 60014478 90021717 100024130 120028956 150036195 180043434 200048260 300072390 360086868 450108585 600144780 900217170 1800434340