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10434134232 = 233547114199
BaseRepresentation
bin10011011011110110…
…00100000011011000
3222221011122221100000
421231323010003120
5132332114243412
64443211413000
7516365451264
oct115573040330
928834587300
1010434134232
114474884535
122032454160
13ca3920732
1470da910a4
154110654dc
hex26dec40d8

10434134232 has 96 divisors (see below), whose sum is σ = 29929536000. Its totient is φ = 3404013984.

The previous prime is 10434134189. The next prime is 10434134233. The reversal of 10434134232 is 23243143401.

10434134232 is a `hidden beast` number, since 10 + 4 + 3 + 413 + 4 + 232 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10434134196 and 10434134205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434134233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34269 + ... + 148467.

It is an arithmetic number, because the mean of its divisors is an integer number (311766000).

Almost surely, 210434134232 is an apocalyptic number.

10434134232 is a gapful number since it is divisible by the number (12) 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 10434134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14964768000).

10434134232 is an abundant number, since it is smaller than the sum of its proper divisors (19495401768).

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

10434134232 is a wasteful number, since it uses less digits than its factorization.

10434134232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114267 (or 114251 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10434134232 its reverse (23243143401), we get a palindrome (33677277633).

The spelling of 10434134232 in words is "ten billion, four hundred thirty-four million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 243 282 324 376 423 486 564 648 846 972 1128 1269 1692 1944 2538 3384 3807 5076 7614 10152 11421 15228 22842 30456 45684 91368 114199 228398 342597 456796 685194 913592 1027791 1370388 2055582 2740776 3083373 4111164 5367353 6166746 8222328 9250119 10734706 12333492 16102059 18500238 21469412 24666984 27750357 32204118 37000476 42938824 48306177 55500714 64408236 74000952 96612354 111001428 128816472 144918531 193224708 222002856 289837062 386449416 434755593 579674124 869511186 1159348248 1304266779 1739022372 2608533558 3478044744 5217067116 10434134232