Search a number
-
+
3145897700 = 2252115948473
BaseRepresentation
bin1011101110000010…
…1001011011100100
322010020120011100122
42323200221123210
522420322211300
61240055301112
7140646455261
oct27340513344
98106504318
103145897700
111374860560
1273967a798
133b19a813a
1421bb44268
151362b2c85
hexbb8296e4

3145897700 has 72 divisors (see below), whose sum is σ = 7573577760. Its totient is φ = 1124550400.

The previous prime is 3145897687. The next prime is 3145897771. The reversal of 3145897700 is 77985413.

3145897700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 40664 + ... + 89136.

It is an arithmetic number, because the mean of its divisors is an integer number (105188580).

Almost surely, 23145897700 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 3145897700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786788880).

3145897700 is an abundant number, since it is smaller than the sum of its proper divisors (4427680060).

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

3145897700 is a wasteful number, since it uses less digits than its factorization.

3145897700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48557 (or 48550 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 3145897700 is about 56088.3027020786. The cubic root of 3145897700 is about 1465.2605779230.

The spelling of 3145897700 in words is "three billion, one hundred forty-five million, eight hundred ninety-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1100 1180 1298 1475 2596 2950 3245 5900 6490 12980 16225 32450 48473 64900 96946 193892 242365 484730 533203 969460 1066406 1211825 2132812 2423650 2666015 2859907 4847300 5332030 5719814 10664060 11439628 13330075 14299535 26660150 28599070 31458977 53320300 57198140 62917954 71497675 125835908 142995350 157294885 285990700 314589770 629179540 786474425 1572948850 3145897700