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3105465372 = 22331092511051
BaseRepresentation
bin1011100100011001…
…1010010000011100
322000102110222122000
42321012122100130
522324444342442
61232052522300
7136646006622
oct27106322034
98012428560
103105465372
111353a55109
12728020390
133a64bc899
1421661b512
15132977d4c
hexb919a41c

3105465372 has 96 divisors (see below), whose sum is σ = 8165203200. Its totient is φ = 1020600000.

The previous prime is 3105465329. The next prime is 3105465383. The reversal of 3105465372 is 2735645013.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2954247 + ... + 2955297.

It is an arithmetic number, because the mean of its divisors is an integer number (85054200).

Almost surely, 23105465372 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 3105465372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082601600).

3105465372 is an abundant number, since it is smaller than the sum of its proper divisors (5059737828).

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

3105465372 is a wasteful number, since it uses less digits than its factorization.

3105465372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3105465372 is about 55726.7025042753. The cubic root of 3105465372 is about 1458.9561206482.

The spelling of 3105465372 in words is "three billion, one hundred five million, four hundred sixty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 251 327 436 502 654 753 981 1004 1051 1308 1506 1962 2102 2259 2943 3012 3153 3924 4204 4518 5886 6306 6777 9036 9459 11772 12612 13554 18918 27108 27359 28377 37836 54718 56754 82077 109436 113508 114559 164154 229118 246231 263801 328308 343677 458236 492462 527602 687354 738693 791403 984924 1031031 1055204 1374708 1477386 1582806 2062062 2374209 2954772 3093093 3165612 4124124 4748418 6186186 7122627 9496836 12372372 14245254 28490508 28754309 57508618 86262927 115017236 172525854 258788781 345051708 517577562 776366343 1035155124 1552732686 3105465372