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208349364 = 223192367593
BaseRepresentation
bin11000110101100…
…10100010110100
3112112001020121010
430122302202310
5411314134424
632401352220
75106640356
oct1432624264
9475036533
10208349364
11a7675a63
1259938670
133421b762
141d9570d6
1513458229
hexc6b28b4

208349364 has 96 divisors (see below), whose sum is σ = 542868480. Its totient is φ = 61890048.

The previous prime is 208349329. The next prime is 208349381. The reversal of 208349364 is 463943802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351052 + ... + 351644.

It is an arithmetic number, because the mean of its divisors is an integer number (5654880).

Almost surely, 2208349364 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 208349364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271434240).

208349364 is an abundant number, since it is smaller than the sum of its proper divisors (334519116).

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

208349364 is a wasteful number, since it uses less digits than its factorization.

208349364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 208349364 is about 14434.3120376414. The cubic root of 208349364 is about 592.8307555239.

The spelling of 208349364 in words is "two hundred eight million, three hundred forty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 67 69 76 92 114 134 138 201 228 268 276 402 437 593 804 874 1186 1273 1311 1541 1748 1779 2372 2546 2622 3082 3558 3819 4623 5092 5244 6164 7116 7638 9246 11267 13639 15276 18492 22534 27278 29279 33801 39731 40917 45068 54556 58558 67602 79462 81834 87837 117116 119193 135204 158924 163668 175674 238386 259141 351348 476772 518282 754889 777423 913813 1036564 1509778 1554846 1827626 2264667 2741439 3019556 3109692 3655252 4529334 5482878 9058668 10965756 17362447 34724894 52087341 69449788 104174682 208349364