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3401425140 = 2235891075953
BaseRepresentation
bin1100101010111101…
…1010000011110100
322210001101022002220
43022233122003310
523431231101030
61321304202340
7150201431241
oct31257320364
98701338086
103401425140
11149601a063
127ab1693b0
134229046c9
14243a5c5c8
1514d939a10
hexcabda0f4

3401425140 has 96 divisors (see below), whose sum is σ = 9722643840. Its totient is φ = 888324096.

The previous prime is 3401425123. The next prime is 3401425171. The reversal of 3401425140 is 415241043.

It is a super-3 number, since 3×34014251403 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3401425140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568404 + ... + 574356.

It is an arithmetic number, because the mean of its divisors is an integer number (101277540).

Almost surely, 23401425140 is an apocalyptic number.

3401425140 is a gapful number since it is divisible by the number (30) 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 3401425140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861321920).

3401425140 is an abundant number, since it is smaller than the sum of its proper divisors (6321218700).

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

3401425140 is a wasteful number, since it uses less digits than its factorization.

3401425140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6161 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3401425140 is about 58321.7381428229. The cubic root of 3401425140 is about 1503.9046624766.

Adding to 3401425140 its reverse (415241043), we get a palindrome (3816666183).

The spelling of 3401425140 in words is "three billion, four hundred one million, four hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 107 178 214 267 321 356 428 445 534 535 642 890 1068 1070 1284 1335 1605 1780 2140 2670 3210 5340 5953 6420 9523 11906 17859 19046 23812 28569 29765 35718 38092 47615 57138 59530 71436 89295 95230 114276 119060 142845 178590 190460 285690 357180 529817 571380 636971 1059634 1273942 1589451 1910913 2119268 2547884 2649085 3178902 3184855 3821826 5298170 6357804 6369710 7643652 7947255 9554565 10596340 12739420 15894510 19109130 31789020 38218260 56690419 113380838 170071257 226761676 283452095 340142514 566904190 680285028 850356285 1133808380 1700712570 3401425140