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73230336 = 2113229137
BaseRepresentation
bin1000101110101…
…10100000000000
312002210111010200
410113112200000
5122221332321
611133325200
71546306344
oct427264000
9162714120
1073230336
1138378043
1220636800
131222cc7a
149a23624
156667d26
hex45d6800

73230336 has 144 divisors (see below), whose sum is σ = 220392900. Its totient is φ = 23396352.

The previous prime is 73230331. The next prime is 73230337. The reversal of 73230336 is 63303237.

73230336 is a `hidden beast` number, since 7 + 323 + 0 + 336 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72999936 + 230400 = 8544^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×732303362 = 10725364221345792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (73230331) 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, 534460 + ... + 534596.

Almost surely, 273230336 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 73230336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110196450).

73230336 is an abundant number, since it is smaller than the sum of its proper divisors (147162564).

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

73230336 is a wasteful number, since it uses less digits than its factorization.

73230336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 27.

The square root of 73230336 is about 8557.4725240576. The cubic root of 73230336 is about 418.3730253745.

The spelling of 73230336 in words is "seventy-three million, two hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 137 144 174 192 232 256 261 274 288 348 384 411 464 512 522 548 576 696 768 822 928 1024 1044 1096 1152 1233 1392 1536 1644 1856 2048 2088 2192 2304 2466 2784 3072 3288 3712 3973 4176 4384 4608 4932 5568 6144 6576 7424 7946 8352 8768 9216 9864 11136 11919 13152 14848 15892 16704 17536 18432 19728 22272 23838 26304 29696 31784 33408 35072 35757 39456 44544 47676 52608 59392 63568 66816 70144 71514 78912 89088 95352 105216 127136 133632 140288 143028 157824 178176 190704 210432 254272 267264 280576 286056 315648 381408 420864 508544 534528 572112 631296 762816 841728 1017088 1144224 1262592 1525632 2034176 2288448 2525184 3051264 4068352 4576896 6102528 8136704 9153792 12205056 18307584 24410112 36615168 73230336