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3545740680 = 2335294124851
BaseRepresentation
bin1101001101010111…
…1011010110001000
3100011002221021210220
43103111323112020
524230202200210
61343501310040
7153603204246
oct32325732610
910132837726
103545740680
11155a5294a9
1282b565320
13446793111
14258ca7796
1515b444c70
hexd357b588

3545740680 has 128 divisors (see below), whose sum is σ = 11272867200. Its totient is φ = 890624000.

The previous prime is 3545740669. The next prime is 3545740691. The reversal of 3545740680 is 860475453.

It is an interprime number because it is at equal distance from previous prime (3545740669) and next prime (3545740691).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 130255 + ... + 155105.

It is an arithmetic number, because the mean of its divisors is an integer number (88069275).

Almost surely, 23545740680 is an apocalyptic number.

3545740680 is a gapful number since it is divisible by the number (30) 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 3545740680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636433600).

3545740680 is an abundant number, since it is smaller than the sum of its proper divisors (7727126520).

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

3545740680 is a wasteful number, since it uses less digits than its factorization.

3545740680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24935 (or 24931 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 3545740680 is about 59546.1222918840. The cubic root of 3545740680 is about 1524.8799590184.

The spelling of 3545740680 in words is "three billion, five hundred forty-five million, seven hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 41 58 60 82 87 116 120 123 145 164 174 205 232 246 290 328 348 410 435 492 580 615 696 820 870 984 1160 1189 1230 1640 1740 2378 2460 3480 3567 4756 4920 5945 7134 9512 11890 14268 17835 23780 24851 28536 35670 47560 49702 71340 74553 99404 124255 142680 149106 198808 248510 298212 372765 497020 596424 720679 745530 994040 1018891 1441358 1491060 2037782 2162037 2882716 2982120 3056673 3603395 4075564 4324074 5094455 5765432 6113346 7206790 8151128 8648148 10188910 10810185 12226692 14413580 15283365 17296296 20377820 21620370 24453384 28827160 29547839 30566730 40755640 43240740 59095678 61133460 86481480 88643517 118191356 122266920 147739195 177287034 236382712 295478390 354574068 443217585 590956780 709148136 886435170 1181913560 1772870340 3545740680