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102033344 = 2671911987
BaseRepresentation
bin1100001010011…
…10011111000000
321002222211102202
412011032133000
5202110031334
614042532332
72346161210
oct605163700
9232884382
10102033344
1152660186
122a2070a8
13181a617a
14d7a0240
158e5717e
hex614e7c0

102033344 has 56 divisors (see below), whose sum is σ = 243596160. Its totient is φ = 41423616.

The previous prime is 102033343. The next prime is 102033377. The reversal of 102033344 is 443330201.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102033343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2519 + ... + 14505.

Almost surely, 2102033344 is an apocalyptic number.

102033344 is a gapful number since it is divisible by the number (14) 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 102033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121798080).

102033344 is an abundant number, since it is smaller than the sum of its proper divisors (141562816).

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

102033344 is a wasteful number, since it uses less digits than its factorization.

102033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12025 (or 12015 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 102033344 is about 10101.1555774575. The cubic root of 102033344 is about 467.2837804028.

Adding to 102033344 its reverse (443330201), we get a palindrome (545363545).

The spelling of 102033344 in words is "one hundred two million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 11987 23974 47948 83909 95896 167818 191792 227753 335636 383584 455506 671272 767168 911012 1342544 1594271 1822024 2685088 3188542 3644048 5370176 6377084 7288096 12754168 14576192 25508336 51016672 102033344