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34454068176 = 24311208131357
BaseRepresentation
bin100000000101100111…
…110101101111010000
310021221011102000021010
4200011213311233100
51031030220140201
623454502130520
72326542514233
oct400547655720
9107834360233
1034454068176
1113680472410
126816720a40
1333310a90b8
14194bbd941a
15d69b92bd6
hex8059f5bd0

34454068176 has 80 divisors (see below), whose sum is σ = 97147585728. Its totient is φ = 10435276800.

The previous prime is 34454068151. The next prime is 34454068177. The reversal of 34454068176 is 67186045443.

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 (34454068177) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1083090 + ... + 1114446.

Almost surely, 234454068176 is an apocalyptic number.

It is an amenable number.

34454068176 is an abundant number, since it is smaller than the sum of its proper divisors (62693517552).

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

34454068176 is a wasteful number, since it uses less digits than its factorization.

34454068176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33460 (or 33454 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 34454068176 in words is "thirty-four billion, four hundred fifty-four million, sixty-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2081 4162 6243 8324 12486 16648 22891 24972 31357 33296 45782 49944 62714 68673 91564 94071 99888 125428 137346 183128 188142 250856 274692 344927 366256 376284 501712 549384 689854 752568 1034781 1098768 1379708 1505136 2069562 2759416 4139124 5518832 8278248 16556496 65253917 130507834 195761751 261015668 391523502 522031336 717793087 783047004 1044062672 1435586174 1566094008 2153379261 2871172348 3132188016 4306758522 5742344696 8613517044 11484689392 17227034088 34454068176