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3400606356 = 22371721271103
BaseRepresentation
bin1100101010110001…
…0010001010010100
322202222211200221120
43022230102022110
523431023400411
61321234443540
7150161451150
oct31254221224
98688750846
103400606356
11149560a984
127aaa335b0
134226a8b14
142438c8060
1514d827106
hexcab12294

3400606356 has 144 divisors (see below), whose sum is σ = 9717743616. Its totient is φ = 906425856.

The previous prime is 3400606351. The next prime is 3400606357. The reversal of 3400606356 is 6536060043.

It is a happy number.

It is a super-3 number, since 3×34006063563 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400606351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3082501 + ... + 3083603.

Almost surely, 23400606356 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 3400606356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858871808).

3400606356 is an abundant number, since it is smaller than the sum of its proper divisors (6317137260).

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

3400606356 is a wasteful number, since it uses less digits than its factorization.

3400606356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 3400606356 is about 58314.7181764604. The cubic root of 3400606356 is about 1503.7839805230.

Adding to 3400606356 its reverse (6536060043), we get a palindrome (9936666399).

The spelling of 3400606356 in words is "three billion, four hundred million, six hundred six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 127 204 238 254 289 357 381 476 508 578 714 762 867 889 1103 1156 1428 1524 1734 1778 2023 2159 2206 2667 3309 3468 3556 4046 4318 4412 5334 6069 6477 6618 7721 8092 8636 10668 12138 12954 13236 15113 15442 18751 23163 24276 25908 30226 30884 36703 37502 45339 46326 56253 60452 73406 75004 90678 92652 110109 112506 131257 140081 146812 181356 220218 225012 256921 262514 280162 318767 393771 420243 440436 513842 525028 560324 637534 770763 787542 840486 956301 980567 1027684 1275068 1541526 1575084 1680972 1912602 1961134 2231369 2381377 2941701 3083052 3825204 3922268 4462738 4762754 5883402 6694107 7144131 8925476 9525508 11766804 13388214 14288262 16669639 26776428 28576524 33339278 40483409 50008917 66678556 80966818 100017834 121450227 161933636 200035668 242900454 283383863 485800908 566767726 850151589 1133535452 1700303178 3400606356