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346690890 = 232571342331
BaseRepresentation
bin10100101010100…
…001010101001010
3220011100201111100
4110222201111022
51202223102030
654222442230
711406552420
oct2452412512
9804321440
10346690890
11168774aa7
1298133376
1356a97c50
1434089110
1520683360
hex14aa154a

346690890 has 96 divisors (see below), whose sum is σ = 1109437056. Its totient is φ = 73146240.

The previous prime is 346690879. The next prime is 346690907. The reversal of 346690890 is 98096643.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12976 + ... + 29355.

It is an arithmetic number, because the mean of its divisors is an integer number (11556636).

Almost surely, 2346690890 is an apocalyptic number.

346690890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

346690890 is an abundant number, since it is smaller than the sum of its proper divisors (762746166).

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

346690890 is a wasteful number, since it uses less digits than its factorization.

346690890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42364 (or 42361 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 346690890 is about 18619.6372145109. The cubic root of 346690890 is about 702.5018570300.

The spelling of 346690890 in words is "three hundred forty-six million, six hundred ninety thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 42331 84662 126993 211655 253986 296317 380979 423310 550303 592634 634965 761958 888951 1100606 1269930 1481585 1650909 1777902 1904895 2666853 2751515 2963170 3301818 3809790 3852121 4444755 4952727 5333706 5503030 7704242 8254545 8889510 9905454 11556363 13334265 16509090 19260605 23112726 24763635 26668530 34669089 38521210 49527270 57781815 69338178 115563630 173345445 346690890