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361764416 = 2613434813
BaseRepresentation
bin10101100100000…
…001011001000000
3221012201112111002
4111210001121000
51220102430131
655521511132
711651642516
oct2544013100
9835645432
10361764416
1117622aa62
12a11a24a8
1359c44bb0
14360904b6
1521b5e6cb
hex15901640

361764416 has 28 divisors (see below), whose sum is σ = 773099292. Its totient is φ = 166967808.

The previous prime is 361764413. The next prime is 361764439. The reversal of 361764416 is 614467163.

It can be written as a sum of positive squares in 2 ways, for example, as 228130816 + 133633600 = 15104^2 + 11560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 361764416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361764413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216575 + ... + 218238.

It is an arithmetic number, because the mean of its divisors is an integer number (27610689).

Almost surely, 2361764416 is an apocalyptic number.

It is an amenable number.

361764416 is an abundant number, since it is smaller than the sum of its proper divisors (411334876).

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

361764416 is a wasteful number, since it uses less digits than its factorization.

361764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434838 (or 434828 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 361764416 is about 19020.1055727880. The cubic root of 361764416 is about 712.5389598477.

The spelling of 361764416 in words is "three hundred sixty-one million, seven hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 434813 869626 1739252 3478504 5652569 6957008 11305138 13914016 22610276 27828032 45220552 90441104 180882208 361764416