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2134181640 = 233547378401
BaseRepresentation
bin111111100110101…
…0000011100001000
312111201211122211110
41333031100130020
513332322303030
6551434530320
7103613146623
oct17715203410
95451748743
102134181640
119a5765288
124b68969a0
132801c8296
14163626dba
15c756a1b0
hex7f350708

2134181640 has 64 divisors (see below), whose sum is σ = 6538786560. Its totient is φ = 557004800.

The previous prime is 2134181597. The next prime is 2134181729. The reversal of 2134181640 is 461814312.

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 = 2134181598 and 2134181607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183561 + ... + 194840.

It is an arithmetic number, because the mean of its divisors is an integer number (102168540).

Almost surely, 22134181640 is an apocalyptic number.

2134181640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134181640 is an abundant number, since it is smaller than the sum of its proper divisors (4404604920).

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

2134181640 is a wasteful number, since it uses less digits than its factorization.

2134181640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378462 (or 378458 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2134181640 is about 46197.2038114863. The cubic root of 2134181640 is about 1287.4897883376.

Adding to 2134181640 its reverse (461814312), we get a palindrome (2595995952).

The spelling of 2134181640 in words is "two billion, one hundred thirty-four million, one hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 378401 756802 1135203 1513604 1892005 2270406 3027208 3784010 4540812 5676015 7568020 9081624 11352030 15136040 17784847 22704060 35569694 45408120 53354541 71139388 88924235 106709082 142278776 177848470 213418164 266772705 355696940 426836328 533545410 711393880 1067090820 2134181640