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3426302346660 = 2232513721014173
BaseRepresentation
bin110001110110111111100…
…010001100010110100100
3110010112212220100022000100
4301312333202030112210
5422114031400043120
611142004354144100
7502353652262364
oct61667742142644
913115786308010
103426302346660
1111010a5395456
12474059882030
131bb13945187b
14bbb963b49a4
155e1d5315490
hex31dbf88c5a4

3426302346660 has 108 divisors (see below), whose sum is σ = 10469543348628. Its totient is φ = 907010529792.

The previous prime is 3426302346659. The next prime is 3426302346667. The reversal of 3426302346660 is 666432036243.

It can be written as a sum of positive squares in 6 ways, for example, as 240484313664 + 3185818032996 = 490392^2 + 1784886^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3426302346667) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2871334 + ... + 3885506.

It is an arithmetic number, because the mean of its divisors is an integer number (96940216191).

Almost surely, 23426302346660 is an apocalyptic number.

3426302346660 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 3426302346660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234771674314).

3426302346660 is an abundant number, since it is smaller than the sum of its proper divisors (7043241001968).

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

3426302346660 is a wasteful number, since it uses less digits than its factorization.

3426302346660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014462 (or 1014320 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 45.

The spelling of 3426302346660 in words is "three trillion, four hundred twenty-six billion, three hundred two million, three hundred forty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2466 2740 4110 4932 6165 8220 12330 18769 24660 37538 56307 75076 93845 112614 168921 187690 225228 281535 337842 375380 563070 675684 844605 1014173 1126140 1689210 2028346 3042519 3378420 4056692 5070865 6085038 9127557 10141730 12170076 15212595 18255114 20283460 30425190 36510228 45637785 60850380 91275570 138941701 182551140 277883402 416825103 555766804 694708505 833650206 1250475309 1389417010 1667300412 2084125515 2500950618 2778834020 4168251030 5001901236 6252376545 8336502060 12504753090 19035013037 25009506180 38070026074 57105039111 76140052148 95175065185 114210078222 171315117333 190350130370 228420156444 285525195555 342630234666 380700260740 571050391110 685260469332 856575586665 1142100782220 1713151173330 3426302346660