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2034524340 = 2232523503977
BaseRepresentation
bin111100101000100…
…0110000010110100
312020210022112201100
41321101012002310
513131314234330
6533514530100
7101263112562
oct17121060264
95223275640
102034524340
11954488282
12489436930
13265674774
141542c4a32
15bd932060
hex794460b4

2034524340 has 144 divisors (see below), whose sum is σ = 6459118848. Its totient is φ = 517389312.

The previous prime is 2034524287. The next prime is 2034524341. The reversal of 2034524340 is 434254302.

2034524340 is a `hidden beast` number, since 203 + 452 + 4 + 3 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034524341) 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 47 ways as a sum of consecutive naturals, for example, 2081932 + ... + 2082908.

It is an arithmetic number, because the mean of its divisors is an integer number (44854992).

Almost surely, 22034524340 is an apocalyptic number.

2034524340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034524340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229559424).

2034524340 is an abundant number, since it is smaller than the sum of its proper divisors (4424594508).

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

2034524340 is a wasteful number, since it uses less digits than its factorization.

2034524340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2034524340 is about 45105.7018568606. The cubic root of 2034524340 is about 1267.1293875775.

Adding to 2034524340 its reverse (434254302), we get a palindrome (2468778642).

The spelling of 2034524340 in words is "two billion, thirty-four million, five hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 503 690 828 977 1006 1035 1380 1509 1954 2012 2070 2515 2931 3018 3908 4140 4527 4885 5030 5862 6036 7545 8793 9054 9770 10060 11569 11724 14655 15090 17586 18108 19540 22471 22635 23138 29310 30180 34707 35172 43965 44942 45270 46276 57845 58620 67413 69414 87930 89884 90540 104121 112355 115690 134826 138828 173535 175860 202239 208242 224710 231380 269652 337065 347070 404478 416484 449420 491431 520605 674130 694140 808956 982862 1011195 1041210 1348260 1474293 1965724 2022390 2082420 2457155 2948586 4044780 4422879 4914310 5897172 7371465 8845758 9828620 11302913 14742930 17691516 22114395 22605826 29485860 33908739 44228790 45211652 56514565 67817478 88457580 101726217 113029130 135634956 169543695 203452434 226058260 339087390 406904868 508631085 678174780 1017262170 2034524340