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102342744 = 23337113599
BaseRepresentation
bin1100001100110…
…10000001011000
321010120112212000
412012122001120
5202144431434
614053321000
72351620230
oct606320130
9233515760
10102342744
1152851689
122a336160
1318283c4a
14d840cc0
158eb8b99
hex619a058

102342744 has 128 divisors (see below), whose sum is σ = 328320000. Its totient is φ = 28933632.

The previous prime is 102342743. The next prime is 102342763. The reversal of 102342744 is 447243201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102342743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170557 + ... + 171155.

It is an arithmetic number, because the mean of its divisors is an integer number (2565000).

Almost surely, 2102342744 is an apocalyptic number.

102342744 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 102342744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160000).

102342744 is an abundant number, since it is smaller than the sum of its proper divisors (225977256).

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

102342744 is a wasteful number, since it uses less digits than its factorization.

102342744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 102342744 is about 10116.4590643169. The cubic root of 102342744 is about 467.7556252116.

Adding to 102342744 its reverse (447243201), we get a palindrome (549585945).

The spelling of 102342744 in words is "one hundred two million, three hundred forty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 113 126 168 189 216 226 252 339 378 452 504 599 678 756 791 904 1017 1198 1356 1512 1582 1797 2034 2373 2396 2712 3051 3164 3594 4068 4193 4746 4792 5391 6102 6328 7119 7188 8136 8386 9492 10782 12204 12579 14238 14376 16173 16772 18984 21357 21564 24408 25158 28476 32346 33544 37737 42714 43128 50316 56952 64692 67687 75474 85428 100632 113211 129384 135374 150948 170856 203061 226422 270748 301896 406122 452844 473809 541496 609183 812244 905688 947618 1218366 1421427 1624488 1827549 1895236 2436732 2842854 3655098 3790472 4264281 4873464 5685708 7310196 8528562 11371416 12792843 14620392 17057124 25585686 34114248 51171372 102342744