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3040114320 = 243254222381
BaseRepresentation
bin1011010100110100…
…0111011010010000
321211212111210211200
42311031013122100
522211232124240
61221400111200
7135223355025
oct26515073220
97755453750
103040114320
111320079981
1270a165500
13395abb119
1420ba8954c
1512bd69930
hexb5347690

3040114320 has 60 divisors (see below), whose sum is σ = 10209719676. Its totient is φ = 810696960.

The previous prime is 3040114237. The next prime is 3040114327. The reversal of 3040114320 is 234110403.

It can be written as a sum of positive squares in 2 ways, for example, as 2257010064 + 783104256 = 47508^2 + 27984^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 3040114293 and 3040114302.

It is not an unprimeable number, because it can be changed into a prime (3040114327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2110471 + ... + 2111910.

Almost surely, 23040114320 is an apocalyptic number.

3040114320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3040114320 is an abundant number, since it is smaller than the sum of its proper divisors (7169605356).

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

3040114320 is a wasteful number, since it uses less digits than its factorization.

3040114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222400 (or 4222391 counting only the distinct ones).

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

The square root of 3040114320 is about 55137.2317041761. The cubic root of 3040114320 is about 1448.6494471810.

Adding to 3040114320 its reverse (234110403), we get a palindrome (3274224723).

The spelling of 3040114320 in words is "three billion, forty million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4222381 8444762 12667143 16889524 21111905 25334286 33779048 38001429 42223810 50668572 63335715 67558096 76002858 84447620 101337144 126671430 152005716 168895240 190007145 202674288 253342860 304011432 337790480 380014290 506685720 608022864 760028580 1013371440 1520057160 3040114320