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1234218540 = 223529709321
BaseRepresentation
bin100100110010000…
…1010111000101100
310012000101210112210
41021210022320230
510011424443130
6322245330420
742404453532
oct11144127054
93160353483
101234218540
11583758725
122a5406a10
13168915639
14b9cba152
15735495b0
hex4990ae2c

1234218540 has 48 divisors (see below), whose sum is σ = 3574982880. Its totient is φ = 317775360.

The previous prime is 1234218481. The next prime is 1234218541. The reversal of 1234218540 is 458124321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1234218498 and 1234218507.

It is not an unprimeable number, because it can be changed into a prime (1234218541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352921 + ... + 356400.

It is an arithmetic number, because the mean of its divisors is an integer number (74478810).

Almost surely, 21234218540 is an apocalyptic number.

1234218540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1234218540 is an abundant number, since it is smaller than the sum of its proper divisors (2340764340).

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

1234218540 is a wasteful number, since it uses less digits than its factorization.

1234218540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709362 (or 709360 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1234218540 is about 35131.4465970304. The cubic root of 1234218540 is about 1072.6647819795.

The spelling of 1234218540 in words is "one billion, two hundred thirty-four million, two hundred eighteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 709321 1418642 2127963 2837284 3546605 4255926 7093210 8511852 10639815 14186420 20570309 21279630 41140618 42559260 61710927 82281236 102851545 123421854 205703090 246843708 308554635 411406180 617109270 1234218540