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2354054040 = 2332513503003
BaseRepresentation
bin1000110001010000…
…0000001110011000
320002001120100001200
42030110000032120
514310114212130
61025331314200
7112223062212
oct21424001630
96061510050
102354054040
11aa8890708
1255844b960
132b691c8b0
141848dd5b2
15db9ec760
hex8c500398

2354054040 has 96 divisors (see below), whose sum is σ = 8239205520. Its totient is φ = 579458304.

The previous prime is 2354054029. The next prime is 2354054047. The reversal of 2354054040 is 404504532.

It is a junction number, because it is equal to n+sod(n) for n = 2354053995 and 2354054013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2354054047) 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, 246822 + ... + 256181.

Almost surely, 22354054040 is an apocalyptic number.

2354054040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2354054040 is an abundant number, since it is smaller than the sum of its proper divisors (5885151480).

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

2354054040 is a wasteful number, since it uses less digits than its factorization.

2354054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503033 (or 503026 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2354054040 is about 48518.5947859169. The cubic root of 2354054040 is about 1330.2669748792.

Adding to 2354054040 its reverse (404504532), we get a palindrome (2758558572).

The spelling of 2354054040 in words is "two billion, three hundred fifty-four million, fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 503003 1006006 1509009 2012012 2515015 3018018 4024024 4527027 5030030 6036036 6539039 7545045 9054054 10060060 12072072 13078078 15090090 18108108 19617117 20120120 22635135 26156156 30180180 32695195 36216216 39234234 45270270 52312312 58851351 60360360 65390390 78468468 90540540 98085585 117702702 130780780 156936936 181081080 196171170 235405404 261561560 294256755 392342340 470810808 588513510 784684680 1177027020 2354054040