Search a number
-
+
3103248672 = 25344129201
BaseRepresentation
bin1011100011110111…
…1101000100100000
322000021022100220000
42320331331010200
522323412424142
61231533220000
7136621115136
oct27075750440
98007270800
103103248672
111352780727
12727331600
133a5bc4924
14216201756
1513268b14c
hexb8f7d120

3103248672 has 120 divisors (see below), whose sum is σ = 9349487532. Its totient is φ = 1009152000.

The previous prime is 3103248653. The next prime is 3103248679. The reversal of 3103248672 is 2768423013.

It is a happy number.

3103248672 is a `hidden beast` number, since 3 + 103 + 2 + 486 + 72 = 666.

3103248672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2683654416 + 419594256 = 51804^2 + 20484^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3103248679) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91672 + ... + 120872.

Almost surely, 23103248672 is an apocalyptic number.

3103248672 is a gapful number since it is divisible by the number (32) 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 3103248672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674743766).

3103248672 is an abundant number, since it is smaller than the sum of its proper divisors (6246238860).

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

3103248672 is a wasteful number, since it uses less digits than its factorization.

3103248672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29264 (or 29247 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3103248672 is about 55706.8099248198. The cubic root of 3103248672 is about 1458.6089007794.

The spelling of 3103248672 in words is "three billion, one hundred three million, two hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 246 288 324 328 369 432 492 648 656 738 864 984 1107 1296 1312 1476 1968 2214 2592 2952 3321 3936 4428 5904 6642 8856 11808 13284 17712 26568 29201 35424 53136 58402 87603 106272 116804 175206 233608 262809 350412 467216 525618 700824 788427 934432 1051236 1197241 1401648 1576854 2102472 2365281 2394482 2803296 3153708 3591723 4204944 4730562 4788964 6307416 7183446 8409888 9461124 9577928 10775169 12614832 14366892 18922248 19155856 21550338 25229664 28733784 32325507 37844496 38311712 43100676 57467568 64651014 75688992 86201352 96976521 114935136 129302028 172402704 193953042 258604056 344805408 387906084 517208112 775812168 1034416224 1551624336 3103248672