Search a number
-
+
3146355030 = 23571310111411
BaseRepresentation
bin1011101110001001…
…1001000101010110
322010021102101200210
42323202121011112
522420431330110
61240113150250
7140653401510
oct27342310526
98107371623
103146355030
111375043115
1273985b386
133b1b08350
1421bc22bb0
15136353520
hexbb899156

3146355030 has 128 divisors (see below), whose sum is σ = 9386689536. Its totient is φ = 657216000.

The previous prime is 3146355007. The next prime is 3146355049. The reversal of 3146355030 is 305536413.

It is a happy number.

3146355030 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270025 + ... + 281435.

It is an arithmetic number, because the mean of its divisors is an integer number (73333512).

Almost surely, 23146355030 is an apocalyptic number.

3146355030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146355030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693344768).

3146355030 is an abundant number, since it is smaller than the sum of its proper divisors (6240334506).

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

3146355030 is a wasteful number, since it uses less digits than its factorization.

3146355030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11542.

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 3146355030 is about 56092.3794289385. The cubic root of 3146355030 is about 1465.3315778107.

The spelling of 3146355030 in words is "three billion, one hundred forty-six million, three hundred fifty-five thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 101 105 130 182 195 202 210 273 303 390 455 505 546 606 707 910 1010 1313 1365 1414 1515 2121 2626 2730 3030 3535 3939 4242 6565 7070 7878 9191 10605 11411 13130 18382 19695 21210 22822 27573 34233 39390 45955 55146 57055 68466 79877 91910 114110 137865 148343 159754 171165 239631 275730 296686 342330 399385 445029 479262 741715 798770 890058 1038401 1152511 1198155 1483430 2076802 2225145 2305022 2396310 3115203 3457533 4450290 5192005 5762555 6230406 6915066 8067577 10384010 11525110 14982643 15576015 16135154 17287665 24202731 29965286 31152030 34575330 40337885 44947929 48405462 74913215 80675770 89895858 104878501 121013655 149826430 209757002 224739645 242027310 314635503 449479290 524392505 629271006 1048785010 1573177515 3146355030