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3913434 = 234721729
BaseRepresentation
bin1110111011011011011010
321100211020000
432323123122
52000212214
6215513430
745156300
oct16733332
97324200
103913434
112233248
121388876
13a70355
1473c270
15524809
hex3bb6da

3913434 has 120 divisors (see below), whose sum is σ = 11173140. Its totient is φ = 1016064.

The previous prime is 3913421. The next prime is 3913489. The reversal of 3913434 is 4343193.

It can be written as a sum of positive squares in 2 ways, for example, as 3814209 + 99225 = 1953^2 + 315^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3913398 and 3913407.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 134932 + ... + 134960.

Almost surely, 23913434 is an apocalyptic number.

3913434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3913434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586570).

3913434 is an abundant number, since it is smaller than the sum of its proper divisors (7259706).

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

3913434 is a wasteful number, since it uses less digits than its factorization.

3913434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3913434 is about 1978.2401269816. The cubic root of 3913434 is about 157.5866190208.

The spelling of 3913434 in words is "three million, nine hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 29 34 42 49 51 54 58 63 81 87 98 102 119 126 147 153 162 174 189 203 238 261 294 306 357 378 406 441 459 493 522 567 609 714 783 833 882 918 986 1071 1134 1218 1323 1377 1421 1479 1566 1666 1827 2142 2349 2499 2646 2754 2842 2958 3213 3451 3654 3969 4263 4437 4698 4998 5481 6426 6902 7497 7938 8526 8874 9639 10353 10962 12789 13311 14994 16443 19278 20706 22491 24157 25578 26622 31059 32886 38367 39933 44982 48314 62118 67473 72471 76734 79866 93177 115101 134946 144942 186354 217413 230202 279531 434826 559062 652239 1304478 1956717 3913434