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84293316 = 223279107277
BaseRepresentation
bin1010000011000…
…11011011000100
312212121112200200
411001203123010
5133034341231
612210410500
72042324052
oct501433304
9185545620
1084293316
11436438a8
1224290a30
1314604603
14b2a31d2
157600be6
hex50636c4

84293316 has 72 divisors (see below), whose sum is σ = 218574720. Its totient is φ = 27383616.

The previous prime is 84293299. The next prime is 84293347. The reversal of 84293316 is 61339248.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304170 + ... + 304446.

It is an arithmetic number, because the mean of its divisors is an integer number (3035760).

Almost surely, 284293316 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 84293316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109287360).

84293316 is an abundant number, since it is smaller than the sum of its proper divisors (134281404).

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

84293316 is a wasteful number, since it uses less digits than its factorization.

84293316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 84293316 is about 9181.1391450081. The cubic root of 84293316 is about 438.4610769794.

The spelling of 84293316 in words is "eighty-four million, two hundred ninety-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 79 107 158 214 237 277 316 321 428 474 554 642 711 831 948 963 1108 1284 1422 1662 1926 2493 2844 3324 3852 4986 8453 9972 16906 21883 25359 29639 33812 43766 50718 59278 65649 76077 87532 88917 101436 118556 131298 152154 177834 196947 262596 266751 304308 355668 393894 533502 787788 1067004 2341481 4682962 7024443 9365924 14048886 21073329 28097772 42146658 84293316