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3466305045 = 325723478441
BaseRepresentation
bin1100111010011011…
…1001111000010101
322221120110112121100
43032212321320111
524044333230140
61331542540313
7151620051420
oct31646717025
98846415540
103466305045
111519703315
12808a37699
1343319c898
1424c50a9b7
151544a3530
hexce9b9e15

3466305045 has 48 divisors (see below), whose sum is σ = 7165147392. Its totient is φ = 1515697920.

The previous prime is 3466305023. The next prime is 3466305097. The reversal of 3466305045 is 5405036643.

3466305045 is a `hidden beast` number, since 346 + 6 + 305 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 3466305045 - 231 = 1318821397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231976 + ... + 246465.

It is an arithmetic number, because the mean of its divisors is an integer number (149273904).

Almost surely, 23466305045 is an apocalyptic number.

3466305045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3466305045 is an abundant number, since it is smaller than the sum of its proper divisors (3698842347).

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

3466305045 is a wasteful number, since it uses less digits than its factorization.

3466305045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478482 (or 478479 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3466305045 is about 58875.3347761183. The cubic root of 3466305045 is about 1513.4064936405.

The spelling of 3466305045 in words is "three billion, four hundred sixty-six million, three hundred five thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 478441 1435323 2392205 3349087 4305969 7176615 10047261 11004143 16745435 21529845 30141783 33012429 50236305 55020715 77029001 99037287 150708915 165062145 231087003 385145005 495186435 693261009 1155435015 3466305045