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102344004 = 22327478641
BaseRepresentation
bin1100001100110…
…10010101000100
321010120121120200
412012122111010
5202200002004
614053330500
72351624010
oct606322504
9233517520
10102344004
1152852624
122a336a30
13182846a9
14d841540
158eb9239
hex619a544

102344004 has 72 divisors (see below), whose sum is σ = 301986048. Its totient is φ = 28615680.

The previous prime is 102344003. The next prime is 102344017. The reversal of 102344004 is 400443201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102344003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7524 + ... + 16164.

Almost surely, 2102344004 is an apocalyptic number.

102344004 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 102344004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150993024).

102344004 is an abundant number, since it is smaller than the sum of its proper divisors (199642044).

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

102344004 is a wasteful number, since it uses less digits than its factorization.

102344004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102344004 is about 10116.5213388793. The cubic root of 102344004 is about 467.7575448060.

Adding to 102344004 its reverse (400443201), we get a palindrome (502787205).

The spelling of 102344004 in words is "one hundred two million, three hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 8641 11844 17282 25923 34564 51846 60487 77769 103692 120974 155538 181461 241948 311076 362922 406127 544383 725844 812254 1088766 1218381 1624508 2177532 2436762 2842889 3655143 4873524 5685778 7310286 8528667 11371556 14620572 17057334 25586001 34114668 51172002 102344004