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3024139440 = 243571800083
BaseRepresentation
bin1011010001000000…
…1011010010110000
321210202110012102110
42310100023102300
522143134430230
61220025445320
7134640522030
oct26420132260
97722405373
103024139440
1113120587a3
12704940840
133926b6b2a
142098cb8c0
1512a7614b0
hexb440b4b0

3024139440 has 80 divisors (see below), whose sum is σ = 10714099968. Its totient is φ = 691231488.

The previous prime is 3024139411. The next prime is 3024139441. The reversal of 3024139440 is 449314203.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3024139398 and 3024139407.

It is not an unprimeable number, because it can be changed into a prime (3024139441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898362 + ... + 901721.

Almost surely, 23024139440 is an apocalyptic number.

3024139440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3024139440 is an abundant number, since it is smaller than the sum of its proper divisors (7689960528).

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

3024139440 is a wasteful number, since it uses less digits than its factorization.

3024139440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800106 (or 1800100 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3024139440 is about 54992.1761707972. The cubic root of 3024139440 is about 1446.1075850311.

The spelling of 3024139440 in words is "three billion, twenty-four million, one hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1800083 3600166 5400249 7200332 9000415 10800498 12600581 14400664 18000830 21600996 25201162 27001245 28801328 36001660 37801743 43201992 50402324 54002490 63002905 72003320 75603486 86403984 100804648 108004980 126005810 144006640 151206972 189008715 201609296 216009960 252011620 302413944 378017430 432019920 504023240 604827888 756034860 1008046480 1512069720 3024139440