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73340496 = 24322392131
BaseRepresentation
bin1000101111100…
…01011001010000
312010000002020200
410113301121100
5122233343441
611135535200
71550245455
oct427613120
9163002220
1073340496
1138442889
122068a500
131226b158
149a5182c
15668a7b6
hex45f1650

73340496 has 60 divisors (see below), whose sum is σ = 206207040. Its totient is φ = 24333120.

The previous prime is 73340489. The next prime is 73340497. The reversal of 73340496 is 69404337.

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

It is a self number, because there is not a number n which added to its sum of digits gives 73340496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73340497) 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, 33351 + ... + 35481.

It is an arithmetic number, because the mean of its divisors is an integer number (3436784).

Almost surely, 273340496 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 73340496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103103520).

73340496 is an abundant number, since it is smaller than the sum of its proper divisors (132866544).

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

73340496 is a wasteful number, since it uses less digits than its factorization.

73340496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2375 counting only the distinct ones).

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

The square root of 73340496 is about 8563.9065851981. The cubic root of 73340496 is about 418.5827056988.

The spelling of 73340496 in words is "seventy-three million, three hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1434 1912 2131 2151 2868 3824 4262 4302 5736 6393 8524 8604 11472 12786 17048 17208 19179 25572 34096 34416 38358 51144 76716 102288 153432 306864 509309 1018618 1527927 2037236 3055854 4074472 4583781 6111708 8148944 9167562 12223416 18335124 24446832 36670248 73340496