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34854226740 = 22325193634593
BaseRepresentation
bin100000011101011110…
…010100101100110100
310022222001101011121200
4200131132110230310
51032340140223430
624002315012500
72342502016254
oct403536245464
9108861334550
1034854226740
1113866336473
12690873a130
133395c74908
141989001964
15d8ed88460
hex81d794b34

34854226740 has 36 divisors (see below), whose sum is σ = 105724488324. Its totient is φ = 9294460416.

The previous prime is 34854226739. The next prime is 34854226777. The reversal of 34854226740 is 4762245843.

It is a happy number.

34854226740 is a `hidden beast` number, since 3 + 4 + 8 + 542 + 2 + 67 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9548416656 + 25305810084 = 97716^2 + 159078^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96817117 + ... + 96817476.

Almost surely, 234854226740 is an apocalyptic number.

34854226740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34854226740 is an abundant number, since it is smaller than the sum of its proper divisors (70870261584).

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

34854226740 is a wasteful number, since it uses less digits than its factorization.

34854226740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193634608 (or 193634603 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 34854226740 in words is "thirty-four billion, eight hundred fifty-four million, two hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193634593 387269186 580903779 774538372 968172965 1161807558 1742711337 1936345930 2323615116 2904518895 3485422674 3872691860 5809037790 6970845348 8713556685 11618075580 17427113370 34854226740