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83440368 = 2435111951
BaseRepresentation
bin1001111100100…
…11001011110000
312211000012200000
410332103023300
5132330042433
612140230000
72032142244
oct476231360
9184005600
1083440368
1143110a90
1223b3b300
13143962cb
14b120424
1574d3113
hex4f932f0

83440368 has 120 divisors (see below), whose sum is σ = 264316416. Its totient is φ = 25272000.

The previous prime is 83440361. The next prime is 83440373. The reversal of 83440368 is 86304438.

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 (83440361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41793 + ... + 43743.

Almost surely, 283440368 is an apocalyptic number.

83440368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83440368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132158208).

83440368 is an abundant number, since it is smaller than the sum of its proper divisors (180876048).

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

83440368 is a wasteful number, since it uses less digits than its factorization.

83440368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 83440368 is about 9134.5699406157. The cubic root of 83440368 is about 436.9771591481.

The spelling of 83440368 in words is "eighty-three million, four hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 1951 2376 2673 3564 3888 3902 4752 5346 5853 7128 7804 10692 11706 14256 15608 17559 21384 21461 23412 31216 35118 42768 42922 46824 52677 64383 70236 85844 93648 105354 128766 140472 158031 171688 193149 210708 257532 280944 316062 343376 386298 421416 474093 515064 579447 632124 772596 842832 948186 1030128 1158894 1264248 1545192 1738341 1896372 2317788 2528496 3090384 3476682 3792744 4635576 5215023 6953364 7585488 9271152 10430046 13906728 20860092 27813456 41720184 83440368