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3045109968 = 2432293312203
BaseRepresentation
bin1011010110000000…
…1011000011010000
321212012220121120200
42311200023003100
522214022004333
61222055135200
7135314002425
oct26540130320
97765817520
103045109968
11132298120a
1270b974500
13396b49c24
1420c5c9d4c
1512c504c13
hexb580b0d0

3045109968 has 120 divisors (see below), whose sum is σ = 8846591520. Its totient is φ = 976631040.

The previous prime is 3045109957. The next prime is 3045109979. The reversal of 3045109968 is 8699015403.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3045109957) and next prime (3045109979).

It is a super-2 number, since 2×30451099682 = 18545389434425922048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1381155 + ... + 1383357.

It is an arithmetic number, because the mean of its divisors is an integer number (73721596).

Almost surely, 23045109968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3045109968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423295760).

3045109968 is an abundant number, since it is smaller than the sum of its proper divisors (5801481552).

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

3045109968 is a wasteful number, since it uses less digits than its factorization.

3045109968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3045109968 is about 55182.5150568547. The cubic root of 3045109968 is about 1449.4425075232.

The spelling of 3045109968 in words is "three billion, forty-five million, one hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 331 348 464 522 662 696 993 1044 1324 1392 1986 2088 2203 2648 2979 3972 4176 4406 5296 5958 6609 7944 8812 9599 11916 13218 15888 17624 19198 19827 23832 26436 28797 35248 38396 39654 47664 52872 57594 63887 76792 79308 86391 105744 115188 127774 153584 158616 172782 191661 230376 255548 317232 345564 383322 460752 511096 574983 691128 729193 766644 1022192 1149966 1382256 1458386 1533288 2187579 2299932 2916772 3066576 4375158 4599864 5833544 6562737 8750316 9199728 11667088 13125474 17500632 21146597 26250948 35001264 42293194 52501896 63439791 84586388 105003792 126879582 169172776 190319373 253759164 338345552 380638746 507518328 761277492 1015036656 1522554984 3045109968