Search a number
-
+
348728016 = 243713292753
BaseRepresentation
bin10100110010010…
…010101011010000
3220022012012220110
4110302102223100
51203233244031
654334241320
711433065520
oct2462225320
9808165813
10348728016
1116993657a
1298956240
135732c250
1434459680
1520936c46
hex14c92ad0

348728016 has 160 divisors (see below), whose sum is σ = 1147426560. Its totient is φ = 88768512.

The previous prime is 348727999. The next prime is 348728063. The reversal of 348728016 is 610827843.

It is a super-2 number, since 2×3487280162 = 243222458286592512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125296 + ... + 128048.

It is an arithmetic number, because the mean of its divisors is an integer number (7171416).

Almost surely, 2348728016 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 348728016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573713280).

348728016 is an abundant number, since it is smaller than the sum of its proper divisors (798698544).

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

348728016 is a wasteful number, since it uses less digits than its factorization.

348728016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 348728016 is about 18674.2607885828. The cubic root of 348728016 is about 703.8751177418.

The spelling of 348728016 in words is "three hundred forty-eight million, seven hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 39 42 48 52 56 58 78 84 87 91 104 112 116 156 168 174 182 203 208 232 273 312 336 348 364 377 406 464 546 609 624 696 728 754 812 1092 1131 1218 1392 1456 1508 1624 2184 2262 2436 2639 2753 3016 3248 4368 4524 4872 5278 5506 6032 7917 8259 9048 9744 10556 11012 15834 16518 18096 19271 21112 22024 31668 33036 35789 38542 42224 44048 57813 63336 66072 71578 77084 79837 107367 115626 126672 132144 143156 154168 159674 214734 231252 239511 250523 286312 308336 319348 429468 462504 479022 501046 558859 572624 638696 751569 858936 925008 958044 1002092 1037881 1117718 1277392 1503138 1676577 1717872 1916088 2004184 2075762 2235436 3006276 3113643 3353154 3832176 4008368 4151524 4470872 6012552 6227286 6706308 7265167 8303048 8941744 12025104 12454572 13412616 14530334 16606096 21795501 24909144 26825232 29060668 43591002 49818288 58121336 87182004 116242672 174364008 348728016