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3354101040 = 243523607627
BaseRepresentation
bin1100011111101011…
…1000010100110000
322122202022222122110
43013322320110300
523332122213130
61312454005320
7146055250143
oct30772702460
98582288573
103354101040
111471336834
12797346840
13415b75294
1423b66005a
151496dcab0
hexc7eb8530

3354101040 has 80 divisors (see below), whose sum is σ = 10849805568. Its totient is φ = 855537408.

The previous prime is 3354101039. The next prime is 3354101059. The reversal of 3354101040 is 401014533.

3354101040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33541010402 = 22499987573058163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3354100998 and 3354101016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298294 + ... + 309333.

Almost surely, 23354101040 is an apocalyptic number.

3354101040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3354101040 is an abundant number, since it is smaller than the sum of its proper divisors (7495704528).

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

3354101040 is a wasteful number, since it uses less digits than its factorization.

3354101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607666 (or 607660 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3354101040 is about 57914.6012677287. The cubic root of 3354101040 is about 1496.8974449704.

Adding to 3354101040 its reverse (401014533), we get a palindrome (3755115573).

The spelling of 3354101040 in words is "three billion, three hundred fifty-four million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 607627 1215254 1822881 2430508 3038135 3645762 4861016 6076270 7291524 9114405 9722032 12152540 13975421 14583048 18228810 24305080 27950842 29166096 36457620 41926263 48610160 55901684 69877105 72915240 83852526 111803368 139754210 145830480 167705052 209631315 223606736 279508420 335410104 419262630 559016840 670820208 838525260 1118033680 1677050520 3354101040