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346740394 = 2711133137151
BaseRepresentation
bin10100101010101…
…101011010101010
3220011110020101211
4110222231122222
51202231143034
654223503334
711410146640
oct2452553252
9804406354
10346740394
111687a9210
1298157b4a
1356ab4640
143409d190
1520692d64
hex14aad6aa

346740394 has 128 divisors (see below), whose sum is σ = 745242624. Its totient is φ = 116640000.

The previous prime is 346740389. The next prime is 346740413. The reversal of 346740394 is 493047643.

It is a super-3 number, since 3×3467403943 (a number of 27 digits) contains 333 as substring.

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, 2296219 + ... + 2296369.

It is an arithmetic number, because the mean of its divisors is an integer number (5822208).

Almost surely, 2346740394 is an apocalyptic number.

346740394 is an abundant number, since it is smaller than the sum of its proper divisors (398502230).

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

346740394 is a wasteful number, since it uses less digits than its factorization.

346740394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252.

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 346740394 is about 18620.9665162687. The cubic root of 346740394 is about 702.5352921906.

The spelling of 346740394 in words is "three hundred forty-six million, seven hundred forty thousand, three hundred ninety-four".

Divisors: 1 2 7 11 13 14 22 26 31 37 62 74 77 91 143 151 154 182 217 259 286 302 341 403 407 434 481 518 682 806 814 962 1001 1057 1147 1661 1963 2002 2114 2294 2387 2821 2849 3322 3367 3926 4433 4681 4774 5291 5587 5642 5698 6734 8029 8866 9362 10582 11174 11627 12617 13741 14911 16058 21593 23254 25234 27482 29822 31031 32767 37037 39109 43186 51491 60853 61457 62062 65534 72631 74074 78218 88319 102982 104377 121706 122914 145262 151151 164021 173197 176638 208754 302302 328042 346394 360437 425971 430199 508417 669383 720874 798941 851942 860398 1016834 1148147 1212379 1338766 1597882 1905167 2251561 2296294 2424758 3810334 4503122 4685681 5592587 9371362 11185174 13336169 15760927 24767171 26672338 31521854 49534342 173370197 346740394