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34545241305408 = 263257700090007
BaseRepresentation
bin1111101101011001100001…
…10101100011000101000000
311112022111022021002121111210
413312230300311203011000
514011442123233233113
6201245510442410120
710163545166130411
oct766546065430500
9145274267077453
1034545241305408
1110009611140519
123a5b123500940
1316377aa283942
14875dda233808
153ed9035bd6c3
hex1f6b30d63140

34545241305408 has 56 divisors (see below), whose sum is σ = 91756596808512. Its totient is φ = 11470274658304.

The previous prime is 34545241305389. The next prime is 34545241305409. The reversal of 34545241305408 is 80450314254543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34545241305409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349995660 + ... + 350094347.

Almost surely, 234545241305408 is an apocalyptic number.

It is an amenable number.

34545241305408 is an abundant number, since it is smaller than the sum of its proper divisors (57211355503104).

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

34545241305408 is a wasteful number, since it uses less digits than its factorization.

34545241305408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700090279 (or 700090269 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 34545241305408 in words is "thirty-four trillion, five hundred forty-five billion, two hundred forty-one million, three hundred five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 257 514 771 1028 1542 2056 3084 4112 6168 8224 12336 16448 24672 49344 700090007 1400180014 2100270021 2800360028 4200540042 5600720056 8401080084 11201440112 16802160168 22402880224 33604320336 44805760448 67208640672 134417281344 179923131799 359846263598 539769395397 719692527196 1079538790794 1439385054392 2159077581588 2878770108784 4318155163176 5757540217568 8636310326352 11515080435136 17272620652704 34545241305408