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73306368 = 283231817
BaseRepresentation
bin1000101111010…
…01000100000000
312002221100102200
410113221010000
5122231300433
611135113200
71550044122
oct427510400
9162840380
1073306368
113841a183
1220672800
1312258765
149a43212
156680613
hex45e9100

73306368 has 54 divisors (see below), whose sum is σ = 211366974. Its totient is φ = 24434688.

The previous prime is 73306349. The next prime is 73306411. The reversal of 73306368 is 86360337.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 1937664 = 8448^2 + 1392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13605 + ... + 18212.

Almost surely, 273306368 is an apocalyptic number.

It is an amenable number.

73306368 is an abundant number, since it is smaller than the sum of its proper divisors (138060606).

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

73306368 is a wasteful number, since it uses less digits than its factorization.

73306368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31839 (or 31822 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 73306368 is about 8561.9138047518. The cubic root of 73306368 is about 418.5177683733.

The spelling of 73306368 in words is "seventy-three million, three hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 31817 63634 95451 127268 190902 254536 286353 381804 509072 572706 763608 1018144 1145412 1527216 2036288 2290824 3054432 4072576 4581648 6108864 8145152 9163296 12217728 18326592 24435456 36653184 73306368