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83343996 = 2232172331191
BaseRepresentation
bin1001111011110…
…11101001111100
312210211022110200
410331323221330
5132314001441
612134203500
72031261261
oct475735174
9183738420
1083343996
114305563a
1223ab3590
1314361498
14b0d7268
1574b47b6
hex4f7ba7c

83343996 has 144 divisors (see below), whose sum is σ = 241532928. Its totient is φ = 24076800.

The previous prime is 83343991. The next prime is 83344003. The reversal of 83343996 is 69934338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83343991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436261 + ... + 436451.

It is an arithmetic number, because the mean of its divisors is an integer number (1677312).

Almost surely, 283343996 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 83343996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120766464).

83343996 is an abundant number, since it is smaller than the sum of its proper divisors (158188932).

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

83343996 is a wasteful number, since it uses less digits than its factorization.

83343996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 83343996 is about 9129.2932913780. The cubic root of 83343996 is about 436.8088609683.

The spelling of 83343996 in words is "eighty-three million, three hundred forty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 23 31 34 36 46 51 62 68 69 92 93 102 124 138 153 186 191 204 207 276 279 306 372 382 391 414 527 558 573 612 713 764 782 828 1054 1116 1146 1173 1426 1564 1581 1719 2108 2139 2292 2346 2852 3162 3247 3438 3519 4278 4393 4692 4743 5921 6324 6417 6494 6876 7038 8556 8786 9486 9741 11842 12121 12834 12988 13179 14076 17572 17763 18972 19482 23684 24242 25668 26358 29223 35526 36363 38964 39537 48484 52716 53289 58446 71052 72726 74681 79074 100657 106578 109089 116892 136183 145452 149362 158148 201314 213156 218178 224043 272366 298724 301971 402628 408549 436356 448086 544732 603942 672129 817098 896172 905913 1207884 1225647 1344258 1634196 1811826 2315111 2451294 2688516 3623652 4630222 4902588 6945333 9260444 13890666 20835999 27781332 41671998 83343996