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34021064704 = 2141121312
BaseRepresentation
bin11111101011110100…
…000100000000000000
310020210222122011011111
4133223310010000000
51024133343032304
623343513253104
72313034164364
oct375364040000
9106728564144
1034021064704
1113479005500
126715704194
133292480723
14190a4c32a4
15d41b60704
hex7ebd04000

34021064704 has 135 divisors (see below), whose sum is σ = 75363084223. Its totient is φ = 15346073600.

The previous prime is 34021064681. The next prime is 34021064711. The reversal of 34021064704 is 40746012043.

The square root of 34021064704 is 184448.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 259702719 + ... + 259702849.

Almost surely, 234021064704 is an apocalyptic number.

34021064704 is the 184448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34021064704

34021064704 is an abundant number, since it is smaller than the sum of its proper divisors (41342019519).

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

34021064704 is an frugal number, since it uses more digits than its factorization.

34021064704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

Adding to 34021064704 its reverse (40746012043), we get a palindrome (74767076747).

The spelling of 34021064704 in words is "thirty-four billion, twenty-one million, sixty-four thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 131 176 242 256 262 352 484 512 524 704 968 1024 1048 1408 1441 1936 2048 2096 2816 2882 3872 4096 4192 5632 5764 7744 8192 8384 11264 11528 15488 15851 16384 16768 17161 22528 23056 30976 31702 33536 34322 45056 46112 61952 63404 67072 68644 90112 92224 123904 126808 134144 137288 180224 184448 188771 247808 253616 268288 274576 368896 377542 495616 507232 536576 549152 737792 755084 991232 1014464 1073152 1098304 1475584 1510168 1982464 2028928 2076481 2146304 2196608 2951168 3020336 4057856 4152962 4393216 5902336 6040672 8115712 8305924 8786432 11804672 12081344 16231424 16611848 17572864 23609344 24162688 32462848 33223696 35145728 48325376 64925696 66447392 70291456 96650752 129851392 132894784 140582912 193301504 259702784 265789568 281165824 386603008 531579136 773206016 1063158272 1546412032 2126316544 3092824064 4252633088 8505266176 17010532352 34021064704