Search a number
-
+
3130414448 = 247234359479
BaseRepresentation
bin1011101010010110…
…0101010101110000
322002011102112022212
42322211211111300
522402341230243
61234343351252
7140401040510
oct27245452560
98064375285
103130414448
111367045787
12734452528
133ab716855
14219a73840
15134c55318
hexba965570

3130414448 has 160 divisors (see below), whose sum is σ = 7542374400. Its totient is φ = 1229614848.

The previous prime is 3130414447. The next prime is 3130414451. The reversal of 3130414448 is 8444140313.

3130414448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130414447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6535073 + ... + 6535551.

It is an arithmetic number, because the mean of its divisors is an integer number (47139840).

Almost surely, 23130414448 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 3130414448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771187200).

3130414448 is an abundant number, since it is smaller than the sum of its proper divisors (4411959952).

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

3130414448 is a wasteful number, since it uses less digits than its factorization.

3130414448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 3130414448 is about 55950.1067738034. The cubic root of 3130414448 is about 1462.8527521565.

The spelling of 3130414448 in words is "three billion, one hundred thirty million, four hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 43 46 56 59 86 92 112 118 161 172 184 236 301 322 344 368 413 472 479 602 644 688 826 944 958 989 1204 1288 1357 1652 1916 1978 2408 2537 2576 2714 3304 3353 3832 3956 4816 5074 5428 6608 6706 6923 7664 7912 9499 10148 10856 11017 13412 13846 15824 17759 18998 20296 20597 21712 22034 26824 27692 28261 35518 37996 40592 41194 44068 53648 55384 56522 58351 71036 75992 77119 82388 88136 110768 113044 116702 142072 144179 151984 154238 164776 176272 197827 226088 233404 284144 288358 308476 329552 395654 408457 452176 466808 473731 576716 616952 650003 791308 816914 933616 947462 1153432 1215223 1233904 1300006 1582616 1633828 1894924 2306864 2430446 2600012 3165232 3267656 3316117 3789848 4550021 4860892 5200024 6535312 6632234 7579696 8506561 9100042 9721784 10400048 13264468 17013122 18200084 19443568 26528936 27950129 34026244 36400168 53057872 55900258 68052488 72800336 111800516 136104976 195650903 223601032 391301806 447202064 782603612 1565207224 3130414448