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1934180136 = 2332721733169
BaseRepresentation
bin111001101001001…
…0011111100101000
311222210111112100100
41303102103330220
512430122231021
6515532105400
765634155100
oct16322237450
94883445310
101934180136
11902881189
1245b905260
1324a9403b5
14144c44200
15b4c10626
hex73493f28

1934180136 has 144 divisors (see below), whose sum is σ = 6130811700. Its totient is φ = 549255168.

The previous prime is 1934180093. The next prime is 1934180153. The reversal of 1934180136 is 6310814391.

It can be written as a sum of positive squares in 2 ways, for example, as 1615557636 + 318622500 = 40194^2 + 17850^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1934180136.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 608760 + ... + 611928.

Almost surely, 21934180136 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 1934180136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065405850).

1934180136 is an abundant number, since it is smaller than the sum of its proper divisors (4196631564).

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

1934180136 is a wasteful number, since it uses less digits than its factorization.

1934180136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1934180136 is about 43979.3148650590. The cubic root of 1934180136 is about 1245.9452907006.

The spelling of 1934180136 in words is "one billion, nine hundred thirty-four million, one hundred eighty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 173 196 252 294 346 392 441 504 519 588 692 882 1038 1176 1211 1384 1557 1764 2076 2422 3114 3169 3528 3633 4152 4844 6228 6338 7266 8477 9507 9688 10899 12456 12676 14532 16954 19014 21798 22183 25352 25431 28521 29064 33908 38028 43596 44366 50862 57042 66549 67816 76056 76293 87192 88732 101724 114084 133098 152586 155281 177464 199647 203448 228168 266196 305172 310562 399294 465843 532392 548237 610344 621124 798588 931686 1096474 1242248 1397529 1597176 1644711 1863372 2192948 2795058 3289422 3726744 3837659 4385896 4934133 5590116 6578844 7675318 9868266 11180232 11512977 13157688 15350636 19736532 23025954 26863613 30701272 34538931 39473064 46051908 53727226 69077862 80590839 92103816 107454452 138155724 161181678 214908904 241772517 276311448 322363356 483545034 644726712 967090068 1934180136