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3436682040 = 2333511289283
BaseRepresentation
bin1100110011010111…
…1001101100111000
322212111201112111000
43030311321230320
524014242311130
61325004005000
7151110213111
oct31465715470
98774645430
103436682040
111503a100a0
127bab30760
13429cca38c
142485d9208
15151aa1260
hexccd79b38

3436682040 has 128 divisors (see below), whose sum is σ = 12497068800. Its totient is φ = 833132160.

The previous prime is 3436682023. The next prime is 3436682059. The reversal of 3436682040 is 402866343.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3436681986 and 3436682004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132762 + ... + 156521.

It is an arithmetic number, because the mean of its divisors is an integer number (97633350).

Almost surely, 23436682040 is an apocalyptic number.

3436682040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3436682040 is an abundant number, since it is smaller than the sum of its proper divisors (9060386760).

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

3436682040 is a wasteful number, since it uses less digits than its factorization.

3436682040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289314 (or 289304 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3436682040 is about 58623.2209964618. The cubic root of 3436682040 is about 1509.0829687710.

The spelling of 3436682040 in words is "three billion, four hundred thirty-six million, six hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 289283 578566 867849 1157132 1446415 1735698 2314264 2603547 2892830 3182113 3471396 4339245 5207094 5785660 6364226 6942792 7810641 8678490 9546339 10414188 11571320 12728452 13017735 15621282 15910565 17356980 19092678 20828376 25456904 26035470 28639017 31242564 31821130 34713960 38185356 39053205 47731695 52070940 57278034 62485128 63642260 76370712 78106410 85917051 95463390 104141880 114556068 127284520 143195085 156212820 171834102 190926780 229112136 286390170 312425640 343668204 381853560 429585255 572780340 687336408 859170510 1145560680 1718341020 3436682040