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4334107272 = 2331131653811
BaseRepresentation
bin1000000100101010…
…10011101010001000
3102012001101110110120
410002111103222020
532334012413042
61554022543240
7212255206155
oct40225235210
912161343416
104334107272
111924543a40
12a0b597b20
13540c01b21
142d188522c
151a576edec
hex102553a88

4334107272 has 128 divisors (see below), whose sum is σ = 12235345920. Its totient is φ = 1267488000.

The previous prime is 4334107249. The next prime is 4334107273. The reversal of 4334107272 is 2727014334.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4334107273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5343747 + ... + 5344557.

It is an arithmetic number, because the mean of its divisors is an integer number (95588640).

Almost surely, 24334107272 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 4334107272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117672960).

4334107272 is an abundant number, since it is smaller than the sum of its proper divisors (7901238648).

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

4334107272 is a wasteful number, since it uses less digits than its factorization.

4334107272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 4334107272 is about 65833.9370841514. The cubic root of 4334107272 is about 1630.4214690409.

The spelling of 4334107272 in words is "four billion, three hundred thirty-four million, one hundred seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 653 682 744 811 1023 1306 1364 1622 1959 2046 2433 2612 2728 3244 3918 4092 4866 5224 6488 7183 7836 8184 8921 9732 14366 15672 17842 19464 20243 21549 25141 26763 28732 35684 40486 43098 50282 53526 57464 60729 71368 75423 80972 86196 100564 107052 121458 150846 161944 172392 201128 214104 222673 242916 276551 301692 445346 485832 529583 553102 603384 668019 829653 890692 1059166 1106204 1336038 1588749 1659306 1781384 2118332 2212408 2672076 3177498 3318612 4236664 5344152 5825413 6354996 6637224 11650826 12709992 16417073 17476239 23301652 32834146 34952478 46603304 49251219 65668292 69904956 98502438 131336584 139809912 180587803 197004876 361175606 394009752 541763409 722351212 1083526818 1444702424 2167053636 4334107272