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345400021224 = 233236720536367
BaseRepresentation
bin1010000011010110111…
…00100001000011101000
31020000112112002001202200
411001223130201003220
521124334401134344
6422401413100200
733645222511266
oct5015334410350
91200475061680
10345400021224
111235353421a5
1256b35927660
132675688abab
1412a0897d436
158eb82b7069
hex506b7210e8

345400021224 has 96 divisors (see below), whose sum is σ = 938611614720. Its totient is φ = 114745673088.

The previous prime is 345400021207. The next prime is 345400021243. The reversal of 345400021224 is 422120004543.

345400021224 is a `hidden beast` number, since 3 + 45 + 400 + 0 + 212 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54245289 + ... + 54251655.

It is an arithmetic number, because the mean of its divisors is an integer number (9777204320).

Almost surely, 2345400021224 is an apocalyptic number.

It is an amenable number.

345400021224 is an abundant number, since it is smaller than the sum of its proper divisors (593211593496).

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

345400021224 is a wasteful number, since it uses less digits than its factorization.

345400021224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8799 (or 8792 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 345400021224 its reverse (422120004543), we get a palindrome (767520025767).

The spelling of 345400021224 in words is "three hundred forty-five billion, four hundred million, twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 367 734 1101 1468 2053 2202 2936 3303 4106 4404 6159 6367 6606 8212 8808 12318 12734 13212 16424 18477 19101 24636 25468 26424 36954 38202 49272 50936 57303 73908 76404 114606 147816 152808 229212 458424 753451 1506902 2260353 2336689 3013804 4520706 4673378 6027608 6781059 7010067 9041412 9346756 13071451 13562118 14020134 18082824 18693512 21030201 26142902 27124236 28040268 39214353 42060402 52285804 54248472 56080536 78428706 84120804 104571608 117643059 156857412 168241608 235286118 313714824 470572236 941144472 4797222517 9594445034 14391667551 19188890068 28783335102 38377780136 43175002653 57566670204 86350005306 115133340408 172700010612 345400021224