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345953640 = 23357936493
BaseRepresentation
bin10100100111101…
…101010101101000
3220002222021011210
4110213231111220
51202031004030
654154553120
711400362124
oct2447552550
9802867153
10345953640
111683110aa
1297a387a0
135689a4c6
1433d36584
1520589bb0
hex149ed568

345953640 has 64 divisors (see below), whose sum is σ = 1051027200. Its totient is φ = 91084032.

The previous prime is 345953623. The next prime is 345953669. The reversal of 345953640 is 46359543.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8767 + ... + 27726.

It is an arithmetic number, because the mean of its divisors is an integer number (16422300).

Almost surely, 2345953640 is an apocalyptic number.

345953640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345953640 is an abundant number, since it is smaller than the sum of its proper divisors (705073560).

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

345953640 is a wasteful number, since it uses less digits than its factorization.

345953640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36586 (or 36582 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 345953640 is about 18599.8290314723. The cubic root of 345953640 is about 702.0035389145.

The spelling of 345953640 in words is "three hundred forty-five million, nine hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 36493 72986 109479 145972 182465 218958 291944 364930 437916 547395 729860 875832 1094790 1459720 2189580 2882947 4379160 5765894 8648841 11531788 14414735 17297682 23063576 28829470 34595364 43244205 57658940 69190728 86488410 115317880 172976820 345953640