Search a number
-
+
346010406 = 237193171197
BaseRepresentation
bin10100100111111…
…011001100100110
3220010002011001020
4110213323030212
51202034313111
654200112010
711401016460
oct2447731446
9803064036
10346010406
1116834a815
1297a65606
13568ba2b1
1433d4d130
152059b906
hex149fb326

346010406 has 128 divisors (see below), whose sum is σ = 875888640. Its totient is φ = 88905600.

The previous prime is 346010393. The next prime is 346010411. The reversal of 346010406 is 604010643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1756300 + ... + 1756496.

It is an arithmetic number, because the mean of its divisors is an integer number (6842880).

Almost surely, 2346010406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346010406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437944320).

346010406 is an abundant number, since it is smaller than the sum of its proper divisors (529878234).

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

346010406 is a wasteful number, since it uses less digits than its factorization.

346010406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 346010406 is about 18601.3549506481. The cubic root of 346010406 is about 702.0419330314.

The spelling of 346010406 in words is "three hundred forty-six million, ten thousand, four hundred six".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 71 93 114 133 142 186 197 213 217 266 394 399 426 434 497 589 591 651 798 994 1178 1182 1302 1349 1379 1491 1767 2201 2698 2758 2982 3534 3743 4047 4123 4137 4402 6107 6603 7486 8094 8246 8274 9443 11229 12214 12369 13206 13987 15407 18321 18886 22458 24738 26201 27974 28329 30814 36642 41819 41961 42749 46221 52402 56658 78603 83638 83922 85498 92442 97909 116033 125457 128247 157206 195818 232066 250914 256494 265753 292733 293727 348099 433597 531506 585466 587454 696198 797259 812231 867194 878199 1300791 1594518 1624462 1756398 1860271 2436693 2601582 3035179 3720542 4873386 5580813 6070358 8238343 9105537 11161626 16476686 18211074 24715029 49430058 57668401 115336802 173005203 346010406