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83801304 = 2334791637
BaseRepresentation
bin1001111111010…
…11010011011000
312211200112210000
410333223103120
5132423120204
612152053000
72035204446
oct477532330
9184615700
1083801304
1143338184
1224094160
1314491692
14b1b5b96
157555039
hex4feb4d8

83801304 has 80 divisors (see below), whose sum is σ = 237837600. Its totient is φ = 27563328.

The previous prime is 83801297. The next prime is 83801317. The reversal of 83801304 is 40310838.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50374 + ... + 52010.

It is an arithmetic number, because the mean of its divisors is an integer number (2972970).

Almost surely, 283801304 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 83801304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118918800).

83801304 is an abundant number, since it is smaller than the sum of its proper divisors (154036296).

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

83801304 is a wasteful number, since it uses less digits than its factorization.

83801304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83801304 is about 9154.3052166726. The cubic root of 83801304 is about 437.6063267013.

The spelling of 83801304 in words is "eighty-three million, eight hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 316 324 474 632 648 711 948 1422 1637 1896 2133 2844 3274 4266 4911 5688 6399 6548 8532 9822 12798 13096 14733 17064 19644 25596 29466 39288 44199 51192 58932 88398 117864 129323 132597 176796 258646 265194 353592 387969 517292 530388 775938 1034584 1060776 1163907 1551876 2327814 3103752 3491721 4655628 6983442 9311256 10475163 13966884 20950326 27933768 41900652 83801304