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102344032 = 25719139173
BaseRepresentation
bin1100001100110…
…10010101100000
321010120121121201
412012122111200
5202200002112
614053330544
72351624050
oct606322540
9233517551
10102344032
115285264a
122a336a54
13182846cb
14d841560
158eb9257
hex619a560

102344032 has 96 divisors (see below), whose sum is σ = 245548800. Its totient is φ = 41015808.

The previous prime is 102344017. The next prime is 102344057. The reversal of 102344032 is 230443201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 591498 + ... + 591670.

It is an arithmetic number, because the mean of its divisors is an integer number (2557800).

Almost surely, 2102344032 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 102344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122774400).

102344032 is an abundant number, since it is smaller than the sum of its proper divisors (143204768).

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

102344032 is a wasteful number, since it uses less digits than its factorization.

102344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 102344032 is about 10116.5227227541. The cubic root of 102344032 is about 467.7575874635.

Adding to 102344032 its reverse (230443201), we get a palindrome (332787233).

The spelling of 102344032 in words is "one hundred two million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 139 152 173 224 266 278 304 346 532 556 608 692 973 1064 1112 1211 1384 1946 2128 2224 2422 2641 2768 3287 3892 4256 4448 4844 5282 5536 6574 7784 9688 10564 13148 15568 18487 19376 21128 23009 24047 26296 31136 36974 38752 42256 46018 48094 52592 73948 84512 92036 96188 105184 147896 168329 184072 192376 295792 336658 368144 384752 456893 591584 673316 736288 769504 913786 1346632 1827572 2693264 3198251 3655144 5386528 6396502 7310288 12793004 14620576 25586008 51172016 102344032