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3330340020 = 22325712132179
BaseRepresentation
bin1100011010000000…
…1111010010110100
322121002121210122200
43012200033102310
523310031340040
61310244424500
7145346265060
oct30640172264
98532553580
103330340020
111459987827
1278b3a8130
13410c75cc7
14238436aa0
15147597630
hexc680f4b4

3330340020 has 144 divisors (see below), whose sum is σ = 11559999360. Its totient is φ = 760243968.

The previous prime is 3330339973. The next prime is 3330340043. The reversal of 3330340020 is 200430333.

It is a super-2 number, since 2×33303400202 = 22182329297627200800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3330339975 and 3330340002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1527291 + ... + 1529469.

Almost surely, 23330340020 is an apocalyptic number.

3330340020 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 3330340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779999680).

3330340020 is an abundant number, since it is smaller than the sum of its proper divisors (8229659340).

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

3330340020 is a wasteful number, since it uses less digits than its factorization.

3330340020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3330340020 is about 57709.0982428248. The cubic root of 3330340020 is about 1493.3543066561.

Adding to 3330340020 its reverse (200430333), we get a palindrome (3530770353).

The spelling of 3330340020 in words is "three billion, three hundred thirty million, three hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1213 1260 2179 2426 3639 4358 4852 6065 6537 7278 8491 8716 10895 10917 12130 13074 14556 15253 16982 18195 19611 21790 21834 24260 25473 26148 30506 32685 33964 36390 39222 42455 43580 43668 45759 50946 54585 61012 65370 72780 76265 76419 78444 84910 91518 98055 101892 109170 127365 130740 137277 152530 152838 169820 183036 196110 218340 228795 254730 274554 305060 305676 382095 392220 457590 509460 549108 686385 764190 915180 1372770 1528380 2643127 2745540 5286254 7929381 10572508 13215635 15858762 18501889 23788143 26431270 31717524 37003778 39646905 47576286 52862540 55505667 74007556 79293810 92509445 95152572 111011334 118940715 158587620 166517001 185018890 222022668 237881430 277528335 333034002 370037780 475762860 555056670 666068004 832585005 1110113340 1665170010 3330340020