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73374048 = 253211192353
BaseRepresentation
bin1000101111110…
…01100101100000
312010001210021100
410113321211200
5122240432143
611140354400
71550445336
oct427714540
9163053240
1073374048
1138466010
12206a5a00
13122804c7
149a5db56
1566956d3
hex45f9960

73374048 has 288 divisors, whose sum is σ = 254741760. Its totient is φ = 19768320.

The previous prime is 73374047. The next prime is 73374053. The reversal of 73374048 is 84047337.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73374043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1384390 + ... + 1384442.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 273374048 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 73374048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

73374048 is an abundant number, since it is smaller than the sum of its proper divisors (181367712).

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

73374048 is a wasteful number, since it uses less digits than its factorization.

73374048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 73374048 is about 8565.8652802855. The cubic root of 73374048 is about 418.6465274007.

Subtracting 73374048 from its reverse (84047337), we obtain a square (10673289 = 32672).

The spelling of 73374048 in words is "seventy-three million, three hundred seventy-four thousand, forty-eight".