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102434304 = 293721361
BaseRepresentation
bin1100001101100…
…00011000000000
321010202012110010
412012300120000
5202210344204
614055304520
72352451200
oct606603000
9233665403
10102434304
1152904455
122a37b140
13182b681b
14d866400
158ed5d89
hex61b0600

102434304 has 120 divisors (see below), whose sum is σ = 317678328. Its totient is φ = 29245440.

The previous prime is 102434281. The next prime is 102434309. The reversal of 102434304 is 403434201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102434309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74584 + ... + 75944.

Almost surely, 2102434304 is an apocalyptic number.

102434304 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 102434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158839164).

102434304 is an abundant number, since it is smaller than the sum of its proper divisors (215244024).

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

102434304 is an equidigital number, since it uses as much as digits as its factorization.

102434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 102434304 is about 10120.9833514338. The cubic root of 102434304 is about 467.8950747317.

Adding to 102434304 its reverse (403434201), we get a palindrome (505868505).

The spelling of 102434304 in words is "one hundred two million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1361 1536 1568 1792 2352 2688 2722 3136 3584 4083 4704 5376 5444 6272 8166 9408 9527 10752 10888 12544 16332 18816 19054 21776 25088 28581 32664 37632 38108 43552 57162 65328 66689 75264 76216 87104 114324 130656 133378 152432 174208 200067 228648 261312 266756 304864 348416 400134 457296 522624 533512 609728 696832 800268 914592 1045248 1067024 1219456 1600536 1829184 2090496 2134048 2438912 3201072 3658368 4268096 4877824 6402144 7316736 8536192 12804288 14633472 17072384 25608576 34144768 51217152 102434304