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1670642316 = 2232717338321
BaseRepresentation
bin110001110010011…
…1111101010001100
311022102121102102100
41203210333222030
511410141023231
6433435355100
756254140210
oct14344775214
94272542370
101670642316
11788041332
123a75b2a90
1320816aa65
1411bc42940
159ba051e6
hex6393fa8c

1670642316 has 72 divisors (see below), whose sum is σ = 4854324384. Its totient is φ = 474554880.

The previous prime is 1670642287. The next prime is 1670642341. The reversal of 1670642316 is 6132460761.

It is a happy number.

1670642316 is a `hidden beast` number, since 1 + 6 + 7 + 0 + 642 + 3 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24436 + ... + 62756.

It is an arithmetic number, because the mean of its divisors is an integer number (67421172).

Almost surely, 21670642316 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 1670642316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427162192).

1670642316 is an abundant number, since it is smaller than the sum of its proper divisors (3183682068).

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

1670642316 is a wasteful number, since it uses less digits than its factorization.

1670642316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38511 (or 38506 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1670642316 is about 40873.4916051957. The cubic root of 1670642316 is about 1186.5730835948.

The spelling of 1670642316 in words is "one billion, six hundred seventy million, six hundred forty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 173 252 346 519 692 1038 1211 1557 2076 2422 3114 3633 4844 6228 7266 10899 14532 21798 38321 43596 76642 114963 153284 229926 268247 344889 459852 536494 689778 804741 1072988 1379556 1609482 2414223 3218964 4828446 6629533 9656892 13259066 19888599 26518132 39777198 46406731 59665797 79554396 92813462 119331594 139220193 185626924 238663188 278440386 417660579 556880772 835321158 1670642316