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2345411440344 = 233737337428371
BaseRepresentation
bin100010001000010101011…
…010100110111011011000
322022012220202102001211010
4202020111122212323120
5301411400312042334
64553244522533520
7331310324206260
oct42102532467330
98265822361733
102345411440344
11824757682375
1231a6816672a0
1314022c5bca2b
1481738b627a0
154102229d0e9
hex222156a6ed8

2345411440344 has 64 divisors (see below), whose sum is σ = 6719141341440. Its totient is φ = 668320974720.

The previous prime is 2345411440213. The next prime is 2345411440357. The reversal of 2345411440344 is 4430441145432.

It is a super-4 number, since 4×23454114403444 (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18651522 + ... + 18776849.

It is an arithmetic number, because the mean of its divisors is an integer number (104986583460).

Almost surely, 22345411440344 is an apocalyptic number.

2345411440344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2345411440344 is an abundant number, since it is smaller than the sum of its proper divisors (4373729901096).

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

2345411440344 is a wasteful number, since it uses less digits than its factorization.

2345411440344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37428760 (or 37428756 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 2345411440344 its reverse (4430441145432), we get a palindrome (6775852585776).

The spelling of 2345411440344 in words is "two trillion, three hundred forty-five billion, four hundred eleven million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 373 746 1119 1492 2238 2611 2984 4476 5222 7833 8952 10444 15666 20888 31332 62664 37428371 74856742 112285113 149713484 224570226 261998597 299426968 449140452 523997194 785995791 898280904 1047994388 1571991582 2095988776 3143983164 6287966328 13960782383 27921564766 41882347149 55843129532 83764694298 97725476681 111686259064 167529388596 195450953362 293176430043 335058777192 390901906724 586352860086 781803813448 1172705720172 2345411440344