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63334272 = 2732371101
BaseRepresentation
bin1111000110011…
…0011110000000
311102011201021210
43301212132000
5112203144042
610141250120
71366222011
oct361463600
9142151253
1063334272
1132828a81
1219263940
1310176801
1485a9008
155860a9c
hex3c66780

63334272 has 128 divisors (see below), whose sum is σ = 179781120. Its totient is φ = 19712000.

The previous prime is 63334237. The next prime is 63334319. The reversal of 63334272 is 27243336.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×633342722 = 8022460019539968, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627022 + ... + 627122.

It is an arithmetic number, because the mean of its divisors is an integer number (1404540).

Almost surely, 263334272 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 63334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89890560).

63334272 is an abundant number, since it is smaller than the sum of its proper divisors (116446848).

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

63334272 is a wasteful number, since it uses less digits than its factorization.

63334272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 18144, while the sum is 30.

The square root of 63334272 is about 7958.2832319540. The cubic root of 63334272 is about 398.6082297218.

The spelling of 63334272 in words is "sixty-three million, three hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 71 92 96 101 128 138 142 184 192 202 213 276 284 303 368 384 404 426 552 568 606 736 808 852 1104 1136 1212 1472 1616 1633 1704 2208 2272 2323 2424 2944 3232 3266 3408 4416 4544 4646 4848 4899 6464 6532 6816 6969 7171 8832 9088 9292 9696 9798 12928 13064 13632 13938 14342 18584 19392 19596 21513 26128 27264 27876 28684 37168 38784 39192 43026 52256 55752 57368 74336 78384 86052 104512 111504 114736 148672 156768 164933 172104 209024 223008 229472 297344 313536 329866 344208 446016 458944 494799 627072 659732 688416 892032 917888 989598 1319464 1376832 1979196 2638928 2753664 3958392 5277856 7916784 10555712 15833568 21111424 31667136 63334272