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740074073328 = 243329346917029
BaseRepresentation
bin10101100010011111101…
…10100010110011110000
32121202021000221020202000
422301033312202303300
544111132430321303
61323552455454000
7104316503554362
oct12611766426360
92552230836660
10740074073328
11265955580067
12bb521387300
1354a33986075
1427b69674d32
15143b7321da3
hexac4fda2cf0

740074073328 has 160 divisors (see below), whose sum is σ = 2198300520000. Its totient is φ = 238102115328.

The previous prime is 740074073327. The next prime is 740074073353. The reversal of 740074073328 is 823370470047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740074073327) 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, 43451118 + ... + 43468146.

It is an arithmetic number, because the mean of its divisors is an integer number (13739378250).

Almost surely, 2740074073328 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 740074073328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099150260000).

740074073328 is an abundant number, since it is smaller than the sum of its proper divisors (1458226446672).

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

740074073328 is a wasteful number, since it uses less digits than its factorization.

740074073328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20544 (or 20532 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 740074073328 in words is "seven hundred forty billion, seventy-four million, seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 3469 4176 6264 6938 10407 12528 13876 17029 20814 27752 31221 34058 41628 51087 55504 62442 68116 83256 93663 100601 102174 124884 136232 153261 166512 187326 201202 204348 249768 272464 301803 306522 374652 402404 408696 459783 493841 499536 603606 613044 749304 804808 817392 905409 919566 987682 1207212 1226088 1481523 1498608 1609616 1810818 1839132 1975364 2414424 2452176 2716227 2963046 3621636 3678264 3950728 4444569 4828848 5432454 5926092 7243272 7356528 7901456 8889138 10864908 11852184 13333707 14486544 17778276 21729816 23704368 26667414 35556552 43459632 53334828 59073601 71113104 106669656 118147202 177220803 213339312 236294404 354441606 472588808 531662409 708883212 945177616 1063324818 1417766424 1594987227 1713134429 2126649636 2835532848 3189974454 3426268858 4253299272 5139403287 6379948908 6852537716 8506598544 10278806574 12759897816 13705075432 15418209861 20557613148 25519795632 27410150864 30836419722 41115226296 46254629583 61672839444 82230452592 92509259166 123345678888 185018518332 246691357776 370037036664 740074073328