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3453057540 = 223452131517
BaseRepresentation
bin1100110111010001…
…0111101000000100
322220122112111110000
43031310113220010
524032440320130
61330351001300
7151366335102
oct31564275004
98818474400
103453057540
111512185269
12804509230
13430511b1a
1424a85cc72
15153238260
hexcdd17a04

3453057540 has 60 divisors (see below), whose sum is σ = 10832374476. Its totient is φ = 920814912.

The previous prime is 3453057469. The next prime is 3453057547. The reversal of 3453057540 is 457503543.

3453057540 is a `hidden beast` number, since 3 + 45 + 3 + 0 + 575 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 847159236 + 2605898304 = 29106^2 + 51048^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 3453057495 and 3453057504.

It is not an unprimeable number, because it can be changed into a prime (3453057547) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1064139 + ... + 1067378.

Almost surely, 23453057540 is an apocalyptic number.

3453057540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3453057540 is an abundant number, since it is smaller than the sum of its proper divisors (7379316936).

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

3453057540 is a wasteful number, since it uses less digits than its factorization.

3453057540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131538 (or 2131527 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 3453057540 is about 58762.7223671606. The cubic root of 3453057540 is about 1511.4760561793.

The spelling of 3453057540 in words is "three billion, four hundred fifty-three million, fifty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2131517 4263034 6394551 8526068 10657585 12789102 19183653 21315170 25578204 31972755 38367306 42630340 57550959 63945510 76734612 95918265 115101918 127891020 172652877 191836530 230203836 287754795 345305754 383673060 575509590 690611508 863264385 1151019180 1726528770 3453057540