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3053274768 = 2432199531171
BaseRepresentation
bin1011010111111101…
…0100011010010000
321212210021102120200
42311333110122100
522223114243033
61222550135200
7135443256465
oct26577243220
97783242520
103053274768
111327548585
12712651500
1339874837b
1420d71366c
1512d0b9013
hexb5fd4690

3053274768 has 120 divisors (see below), whose sum is σ = 9011789280. Its totient is φ = 962357760.

The previous prime is 3053274767. The next prime is 3053274799. The reversal of 3053274768 is 8674723503.

3053274768 is a `hidden beast` number, since 305 + 3 + 274 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3053274767) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2606823 + ... + 2607993.

It is an arithmetic number, because the mean of its divisors is an integer number (75098244).

Almost surely, 23053274768 is an apocalyptic number.

3053274768 is a gapful number since it is divisible by the number (38) 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 3053274768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505894640).

3053274768 is an abundant number, since it is smaller than the sum of its proper divisors (5958514512).

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

3053274768 is a wasteful number, since it uses less digits than its factorization.

3053274768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3053274768 is about 55256.4454882867. The cubic root of 3053274768 is about 1450.7368063506.

The spelling of 3053274768 in words is "three billion, fifty-three million, two hundred seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 953 1171 1368 1906 2342 2736 2859 3513 3812 4684 5718 7026 7624 8577 9368 10539 11436 14052 15248 17154 18107 18736 21078 22249 22872 28104 34308 36214 42156 44498 45744 54321 56208 66747 68616 72428 84312 88996 108642 133494 137232 144856 162963 168624 177992 200241 217284 266988 289712 325926 355984 400482 434568 533976 651852 800964 869136 1067952 1115963 1303704 1601928 2231926 2607408 3203856 3347889 4463852 6695778 8927704 10043667 13391556 17855408 20087334 21203297 26783112 40174668 42406594 53566224 63609891 80349336 84813188 127219782 160698672 169626376 190829673 254439564 339252752 381659346 508879128 763318692 1017758256 1526637384 3053274768