Search a number
-
+
346902864 = 243711471997
BaseRepresentation
bin10100101011010…
…101000101010000
3220011202111021020
4110223111011100
51202301342424
654231155440
711411424420
oct2453250520
9804674236
10346902864
111688aa290
1298215b80
1356b40589
1434102480
15206c6079
hex14ad5150

346902864 has 160 divisors (see below), whose sum is σ = 1141641216. Its totient is φ = 88143360.

The previous prime is 346902851. The next prime is 346902883. The reversal of 346902864 is 468209643.

It is a happy number.

346902864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 172714 + ... + 174710.

Almost surely, 2346902864 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 346902864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570820608).

346902864 is an abundant number, since it is smaller than the sum of its proper divisors (794738352).

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

346902864 is a wasteful number, since it uses less digits than its factorization.

346902864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 346902864 is about 18625.3285608603. The cubic root of 346902864 is about 702.6450025946.

The spelling of 346902864 in words is "three hundred forty-six million, nine hundred two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 47 48 56 66 77 84 88 94 112 132 141 154 168 176 188 231 264 282 308 329 336 376 462 517 528 564 616 658 752 924 987 1034 1128 1232 1316 1551 1848 1974 1997 2068 2256 2632 3102 3619 3696 3948 3994 4136 5264 5991 6204 7238 7896 7988 8272 10857 11982 12408 13979 14476 15792 15976 21714 21967 23964 24816 27958 28952 31952 41937 43428 43934 47928 55916 57904 65901 83874 86856 87868 93859 95856 111832 131802 153769 167748 173712 175736 187718 223664 263604 281577 307538 335496 351472 375436 461307 527208 563154 615076 657013 670992 750872 922614 1032449 1054416 1126308 1230152 1314026 1501744 1845228 1971039 2064898 2252616 2460304 2628052 3097347 3690456 3942078 4129796 4505232 5256104 6194694 7227143 7380912 7884156 8259592 10512208 12389388 14454286 15768312 16519184 21681429 24778776 28908572 31536624 43362858 49557552 57817144 86725716 115634288 173451432 346902864