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3455336340 = 2233516133967
BaseRepresentation
bin1100110111110100…
…0011111110010100
322220210211021101000
43031331003332110
524034031230330
61330511503300
7151424605611
oct31575037624
98823737330
103455336340
1115134a1375
12805227b30
13430b2c121
1424ac93508
15153538560
hexcdf43f94

3455336340 has 96 divisors (see below), whose sum is σ = 10759311360. Its totient is φ = 920619648.

The previous prime is 3455336323. The next prime is 3455336347. The reversal of 3455336340 is 436335543.

3455336340 is a `hidden beast` number, since 3 + 4 + 553 + 3 + 63 + 40 = 666.

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 = 3455336295 and 3455336304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455336347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869037 + ... + 873003.

It is an arithmetic number, because the mean of its divisors is an integer number (112076160).

Almost surely, 23455336340 is an apocalyptic number.

3455336340 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 3455336340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379655680).

3455336340 is an abundant number, since it is smaller than the sum of its proper divisors (7303975020).

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

3455336340 is a wasteful number, since it uses less digits than its factorization.

3455336340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

The square root of 3455336340 is about 58782.1090128621. The cubic root of 3455336340 is about 1511.8084759928.

The spelling of 3455336340 in words is "three billion, four hundred fifty-five million, three hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1613 3226 3967 4839 6452 7934 8065 9678 11901 14517 15868 16130 19356 19835 23802 24195 29034 32260 35703 39670 43551 47604 48390 58068 59505 71406 72585 79340 87102 96780 107109 119010 142812 145170 174204 178515 214218 217755 238020 290340 357030 428436 435510 535545 714060 871020 1071090 2142180 6398771 12797542 19196313 25595084 31993855 38392626 57588939 63987710 76785252 95981565 115177878 127975420 172766817 191963130 230355756 287944695 345533634 383926260 575889390 691067268 863834085 1151778780 1727668170 3455336340