Search a number
-
+
3149014380 = 2235175235903
BaseRepresentation
bin1011101110110010…
…0010010101101100
322010110102111122020
42323230202111230
522422121430010
61240250150140
7141015115641
oct27354422554
98113374566
103149014380
11137659a126
1273a722350
133b2529925
1421c315dc8
151366cb470
hexbbb2256c

3149014380 has 96 divisors (see below), whose sum is σ = 9355336704. Its totient is φ = 788696064.

The previous prime is 3149014303. The next prime is 3149014409. The reversal of 3149014380 is 834109413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530509 + ... + 536411.

It is an arithmetic number, because the mean of its divisors is an integer number (97451424).

Almost surely, 23149014380 is an apocalyptic number.

3149014380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3149014380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677668352).

3149014380 is an abundant number, since it is smaller than the sum of its proper divisors (6206322324).

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

3149014380 is a wasteful number, since it uses less digits than its factorization.

3149014380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6455 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3149014380 is about 56116.0795138078. The cubic root of 3149014380 is about 1465.7443021771.

The spelling of 3149014380 in words is "three billion, one hundred forty-nine million, fourteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 523 1020 1046 1569 2092 2615 3138 5230 5903 6276 7845 8891 10460 11806 15690 17709 17782 23612 26673 29515 31380 35418 35564 44455 53346 59030 70836 88545 88910 100351 106692 118060 133365 177090 177820 200702 266730 301053 354180 401404 501755 533460 602106 1003510 1204212 1505265 2007020 3010530 3087269 6021060 6174538 9261807 12349076 15436345 18523614 30872690 37047228 46309035 52483573 61745380 92618070 104967146 157450719 185236140 209934292 262417865 314901438 524835730 629802876 787253595 1049671460 1574507190 3149014380