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73030464 = 2633133251
BaseRepresentation
bin1000101101001…
…01101101000000
312002102022222000
410112211231000
5122143433324
611125144000
71544514543
oct426455500
9162368860
1073030464
1138250961
122055b000
131218ccc0
1499b085a
1566289c9
hex45a5b40

73030464 has 112 divisors (see below), whose sum is σ = 231282240. Its totient is φ = 22464000.

The previous prime is 73030459. The next prime is 73030483. The reversal of 73030464 is 46403037.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20839 + ... + 24089.

It is an arithmetic number, because the mean of its divisors is an integer number (2065020).

Almost surely, 273030464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115641120).

73030464 is an abundant number, since it is smaller than the sum of its proper divisors (158251776).

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

73030464 is a wasteful number, since it uses less digits than its factorization.

73030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3269 counting only the distinct ones).

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

The square root of 73030464 is about 8545.7863301161. The cubic root of 73030464 is about 417.9920482603.

The spelling of 73030464 in words is "seventy-three million, thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3251 3744 5616 6502 7488 9753 11232 13004 19506 22464 26008 29259 39012 42263 52016 58518 78024 84526 87777 104032 117036 126789 156048 169052 175554 208064 234072 253578 312096 338104 351108 380367 468144 507156 624192 676208 702216 760734 936288 1014312 1141101 1352416 1404432 1521468 1872576 2028624 2282202 2704832 2808864 3042936 4057248 4564404 5617728 6085872 8114496 9128808 12171744 18257616 24343488 36515232 73030464