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1345350272 = 277330643
BaseRepresentation
bin101000000110000…
…0110101010000000
310110202111212121212
41100030012222000
510223402202042
6341255305252
745224201000
oct12014065200
93422455555
101345350272
11630462632
1231667b228
13185955b66
14ca968000
157d19c482
hex50306a80

1345350272 has 64 divisors (see below), whose sum is σ = 3125688000. Its totient is φ = 576559872.

The previous prime is 1345350221. The next prime is 1345350277. The reversal of 1345350272 is 2720535431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1345350277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28583 + ... + 59225.

It is an arithmetic number, because the mean of its divisors is an integer number (48838875).

Almost surely, 21345350272 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 1345350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562844000).

1345350272 is an abundant number, since it is smaller than the sum of its proper divisors (1780337728).

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

1345350272 is an frugal number, since it uses more digits than its factorization.

1345350272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30678 (or 30652 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 1345350272 is about 36679.0167807154. The cubic root of 1345350272 is about 1103.9391200763.

The spelling of 1345350272 in words is "one billion, three hundred forty-five million, three hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2744 3136 5488 6272 10976 21952 30643 43904 61286 122572 214501 245144 429002 490288 858004 980576 1501507 1716008 1961152 3003014 3432016 3922304 6006028 6864032 10510549 12012056 13728064 21021098 24024112 27456128 42042196 48048224 84084392 96096448 168168784 192192896 336337568 672675136 1345350272