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3074728272 = 2437117111717
BaseRepresentation
bin1011011101000100…
…1010000101010000
321221021122101020220
42313101022011100
522244112301042
61225034033040
7136123521240
oct26721120520
97837571226
103074728272
111338670950
12719878780
133a001a255
142124d9b20
1512ee058ec
hexb744a150

3074728272 has 160 divisors (see below), whose sum is σ = 10043357184. Its totient is φ = 787315200.

The previous prime is 3074728271. The next prime is 3074728309. The reversal of 3074728272 is 2728274703.

It is a super-2 number, since 2×30747282722 = 18907907893272211968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074728271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256558 + ... + 268274.

Almost surely, 23074728272 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 3074728272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021678592).

3074728272 is an abundant number, since it is smaller than the sum of its proper divisors (6968628912).

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

3074728272 is a wasteful number, since it uses less digits than its factorization.

3074728272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11817 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The square root of 3074728272 is about 55450.2323890532. The cubic root of 3074728272 is about 1454.1266940858.

The spelling of 3074728272 in words is "three billion, seventy-four million, seven hundred twenty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 71 77 84 88 112 132 142 154 168 176 213 231 264 284 308 336 426 462 497 528 568 616 781 852 924 994 1136 1232 1491 1562 1704 1848 1988 2343 2982 3124 3408 3696 3976 4686 5467 5964 6248 7952 9372 10934 11717 11928 12496 16401 18744 21868 23434 23856 32802 35151 37488 43736 46868 65604 70302 82019 87472 93736 128887 131208 140604 164038 187472 246057 257774 262416 281208 328076 386661 492114 515548 562416 656152 773322 831907 902209 984228 1031096 1312304 1546644 1663814 1804418 1968456 2062192 2495721 2706627 3093288 3327628 3608836 3936912 4991442 5413254 5823349 6186576 6655256 7217672 9150977 9982884 10826508 11646698 13310512 14435344 17470047 18301954 19965768 21653016 23293396 27452931 34940094 36603908 39931536 43306032 46586792 54905862 64056839 69880188 73207816 93173584 109811724 128113678 139760376 146415632 192170517 219623448 256227356 279520752 384341034 439246896 512454712 768682068 1024909424 1537364136 3074728272