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102336384 = 2732311587
BaseRepresentation
bin1100001100110…
…00011110000000
321010120020010110
412012120132000
5202144231014
614053231320
72351562543
oct606303600
9233506113
10102336384
1152847927
122a332540
1318281097
14d83c85a
158eb6d59
hex6198780

102336384 has 64 divisors (see below), whose sum is σ = 283674240. Its totient is φ = 32626176.

The previous prime is 102336373. The next prime is 102336391. The reversal of 102336384 is 483633201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3039 + ... + 14625.

It is an arithmetic number, because the mean of its divisors is an integer number (4432410).

Almost surely, 2102336384 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 102336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141837120).

102336384 is an abundant number, since it is smaller than the sum of its proper divisors (181337856).

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

102336384 is a wasteful number, since it uses less digits than its factorization.

102336384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11627 (or 11615 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 102336384 is about 10116.1447201985. The cubic root of 102336384 is about 467.7459355900.

Adding to 102336384 its reverse (483633201), we get a palindrome (585969585).

The spelling of 102336384 in words is "one hundred two million, three hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 11587 23174 34761 46348 69522 92696 139044 185392 266501 278088 370784 533002 556176 741568 799503 1066004 1112352 1483136 1599006 2132008 2224704 3198012 4264016 4449408 6396024 8528032 12792048 17056064 25584096 34112128 51168192 102336384