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45348660 = 2235573143
BaseRepresentation
bin1010110011111…
…1011100110100
310011022221200000
42230333130310
543102124120
64255551300
71060312560
oct254773464
9104287600
1045348660
1123664135
121322b530
13951a236
1460466a0
153eab990
hex2b3f734

45348660 has 288 divisors, whose sum is σ = 172204032. Its totient is φ = 9797760.

The previous prime is 45348659. The next prime is 45348679. The reversal of 45348660 is 6684354.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1054599 + ... + 1054641.

Almost surely, 245348660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45348660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86102016).

45348660 is an abundant number, since it is smaller than the sum of its proper divisors (126855372).

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

45348660 is a wasteful number, since it uses less digits than its factorization.

45348660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45348660 is about 6734.1413706574. The cubic root of 45348660 is about 356.6055950790.

The spelling of 45348660 in words is "forty-five million, three hundred forty-eight thousand, six hundred sixty".