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661057344 = 26321147669
BaseRepresentation
bin100111011001101…
…110111101000000
31201001220012012100
4213121232331000
52323212313334
6145332430400
722244615613
oct4731567500
91631805170
10661057344
1130a171192
12165478400
13a6c55bbc
1463b1c17a
153d07dc99
hex2766ef40

661057344 has 42 divisors (see below), whose sum is σ = 1894803170. Its totient is φ = 220352256.

The previous prime is 661057339. The next prime is 661057351. The reversal of 661057344 is 443750166.

It is a happy number.

661057344 is a `hidden beast` number, since 6 + 610 + 5 + 7 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 620607744 + 40449600 = 24912^2 + 6360^2 .

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 = 661057299 and 661057308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 573259 + ... + 574410.

Almost surely, 2661057344 is an apocalyptic number.

661057344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

661057344 is an abundant number, since it is smaller than the sum of its proper divisors (1233745826).

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

661057344 is a wasteful number, since it uses less digits than its factorization.

661057344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147687 (or 1147674 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 661057344 is about 25711.0354517277. The cubic root of 661057344 is about 871.1234633894.

The spelling of 661057344 in words is "six hundred sixty-one million, fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1147669 2295338 3443007 4590676 6886014 9181352 10329021 13772028 18362704 20658042 27544056 36725408 41316084 55088112 73450816 82632168 110176224 165264336 220352448 330528672 661057344