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73034000640 = 283256339757
BaseRepresentation
bin100010000000100101…
…0100110100100000000
320222111212100122022200
41010001022212210000
52144033201010030
653315032033200
75163564522366
oct1040112464400
9228455318280
1073034000640
1128a78875717
12121a2b32800
136b6bba4ac3
14376b94d636
151d76b6dd60
hex11012a6900

73034000640 has 108 divisors (see below), whose sum is σ = 252690074364. Its totient is φ = 19475730432.

The previous prime is 73034000597. The next prime is 73034000647. The reversal of 73034000640 is 4600043037.

It can be written as a sum of positive squares in 2 ways, for example, as 29876431104 + 43157569536 = 172848^2 + 207744^2 .

It is a super-3 number, since 3×730340006403 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (73034000647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3158359 + ... + 3181398.

Almost surely, 273034000640 is an apocalyptic number.

It is an amenable number.

73034000640 is an abundant number, since it is smaller than the sum of its proper divisors (179656073724).

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

73034000640 is a wasteful number, since it uses less digits than its factorization.

73034000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339784 (or 6339767 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 73034000640 its reverse (4600043037), we get a palindrome (77634043677).

The spelling of 73034000640 in words is "seventy-three billion, thirty-four million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 6339757 12679514 19019271 25359028 31698785 38038542 50718056 57057813 63397570 76077084 95096355 101436112 114115626 126795140 152154168 190192710 202872224 228231252 253590280 285289065 304308336 380385420 405744448 456462504 507180560 570578130 608616672 760770840 811488896 912925008 1014361120 1141156260 1217233344 1521541680 1622977792 1825850016 2028722240 2282312520 2434466688 3043083360 3651700032 4057444480 4564625040 4868933376 6086166720 7303400064 8114888960 9129250080 12172333440 14606800128 18258500160 24344666880 36517000320 73034000640