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345400851654 = 232541132726729
BaseRepresentation
bin1010000011010110111…
…11101011110011000110
31020000112120122020220100
411001223133223303012
521124340104223104
6422401442544530
733645232540335
oct5015337536306
91200476566810
10345400851654
1112353585a101
1256b36068146
1326756abbb81
1412a08b17d1c
158eb83cd139
hex506b7ebcc6

345400851654 has 48 divisors (see below), whose sum is σ = 750344886720. Its totient is φ = 114829902720.

The previous prime is 345400851643. The next prime is 345400851739. The reversal of 345400851654 is 456158004543.

345400851654 is a `hidden beast` number, since 3 + 4 + 5 + 400 + 85 + 165 + 4 = 666.

It is a Curzon number.

It is a congruent number.

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, 12908962 + ... + 12935690.

It is an arithmetic number, because the mean of its divisors is an integer number (15632185140).

Almost surely, 2345400851654 is an apocalyptic number.

345400851654 is an abundant number, since it is smaller than the sum of its proper divisors (404944035066).

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

345400851654 is a wasteful number, since it uses less digits than its factorization.

345400851654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28605 (or 28602 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 345400851654 in words is "three hundred forty-five billion, four hundred million, eight hundred fifty-one thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 18 541 1082 1327 1623 2654 3246 3981 4869 7962 9738 11943 23886 26729 53458 80187 160374 240561 481122 717907 1435814 2153721 4307442 6461163 12922326 14460389 28920778 35469383 43381167 70938766 86762334 106408149 130143501 212816298 260287002 319224447 638448894 19188936203 38377872406 57566808609 115133617218 172700425827 345400851654