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3401012340 = 2233511252051
BaseRepresentation
bin1100101010110111…
…0101010001110100
322210000121022212000
43022231311101310
523431124343330
61321251255300
7150165061605
oct31255652164
98700538760
103401012340
111495867a00
127aabaa530
134227bb84b
14243991dac
1514d8a7560
hexcab75474

3401012340 has 144 divisors (see below), whose sum is σ = 11630498880. Its totient is φ = 824472000.

The previous prime is 3401012339. The next prime is 3401012347. The reversal of 3401012340 is 432101043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401012347) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 39315 + ... + 91365.

Almost surely, 23401012340 is an apocalyptic number.

3401012340 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 3401012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815249440).

3401012340 is an abundant number, since it is smaller than the sum of its proper divisors (8229486540).

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

3401012340 is a wasteful number, since it uses less digits than its factorization.

3401012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52091 (or 52072 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3401012340 is about 58318.1990462669. The cubic root of 3401012340 is about 1503.8438216099.

Adding to 3401012340 its reverse (432101043), we get a palindrome (3833113383).

The spelling of 3401012340 in words is "three billion, four hundred one million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 10890 13068 16335 21780 32670 52051 65340 104102 156153 208204 260255 312306 468459 520510 572561 624612 780765 936918 1041020 1145122 1405377 1561530 1717683 1873836 2290244 2342295 2810754 2862805 3123060 3435366 4684590 5153049 5621508 5725610 6298171 6870732 7026885 8588415 9369180 10306098 11451220 12596342 14053770 15459147 17176830 18894513 20612196 25192684 25765245 28107540 30918294 31490855 34353660 37789026 51530490 56683539 61836588 62981710 75578052 77295735 94472565 103060980 113367078 125963420 154591470 170050617 188945130 226734156 283417695 309182940 340101234 377890260 566835390 680202468 850253085 1133670780 1700506170 3401012340