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1674968352 = 25346737361
BaseRepresentation
bin110001111010101…
…1111110100100000
311022201202012121220
41203311133310200
511412242441402
6434112215040
756335665441
oct14365376440
94281665556
101674968352
1178a526572
123a8b3a480
13209023b45
1411c64b2c8
159c0abdbc
hex63d5fd20

1674968352 has 48 divisors (see below), whose sum is σ = 4406324832. Its totient is φ = 557112320.

The previous prime is 1674968327. The next prime is 1674968411. The reversal of 1674968352 is 2538694761.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1674968295 and 1674968304.

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 7 ways as a sum of consecutive naturals, for example, 26152 + ... + 63512.

It is an arithmetic number, because the mean of its divisors is an integer number (91798434).

Almost surely, 21674968352 is an apocalyptic number.

1674968352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1674968352 is an abundant number, since it is smaller than the sum of its proper divisors (2731356480).

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

1674968352 is a wasteful number, since it uses less digits than its factorization.

1674968352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37841 (or 37833 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 1674968352 is about 40926.3772156784. The cubic root of 1674968352 is about 1187.5963893245.

The spelling of 1674968352 in words is "one billion, six hundred seventy-four million, nine hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 467 934 1401 1868 2802 3736 5604 7472 11208 14944 22416 37361 44832 74722 112083 149444 224166 298888 448332 597776 896664 1195552 1793328 3586656 17447587 34895174 52342761 69790348 104685522 139580696 209371044 279161392 418742088 558322784 837484176 1674968352