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3453326640 = 243255981293
BaseRepresentation
bin1100110111010101…
…1001010100110000
322220200001011120200
43031311121110300
524033022423030
61330400435200
7151401535461
oct31565312460
98820034520
103453326640
111512349465
12804618b00
134305a745a
1424a8ccd68
1515328cd60
hexcdd59530

3453326640 has 120 divisors (see below), whose sum is σ = 11794133520. Its totient is φ = 905267712.

The previous prime is 3453326633. The next prime is 3453326677. The reversal of 3453326640 is 466233543.

3453326640 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 3 + 2 + 6 + 640 = 666.

3453326640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3453326595 and 3453326604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1834 + ... + 83126.

It is an arithmetic number, because the mean of its divisors is an integer number (98284446).

Almost surely, 23453326640 is an apocalyptic number.

3453326640 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 3453326640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897066760).

3453326640 is an abundant number, since it is smaller than the sum of its proper divisors (8340806880).

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

3453326640 is a wasteful number, since it uses less digits than its factorization.

3453326640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81371 (or 81362 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3453326640 is about 58765.0120394780. The cubic root of 3453326640 is about 1511.5153187398.

The spelling of 3453326640 in words is "three billion, four hundred fifty-three million, three hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2360 2655 2832 3540 4248 4720 5310 7080 8496 10620 14160 21240 42480 81293 162586 243879 325172 406465 487758 650344 731637 812930 975516 1219395 1300688 1463274 1625860 1951032 2438790 2926548 3251720 3658185 3902064 4796287 4877580 5853096 6503440 7316370 9592574 9755160 11706192 14388861 14632740 19185148 19510320 23981435 28777722 29265480 38370296 43166583 47962870 57555444 58530960 71944305 76740592 86333166 95925740 115110888 143888610 172666332 191851480 215832915 230221776 287777220 345332664 383702960 431665830 575554440 690665328 863331660 1151108880 1726663320 3453326640