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349275480 = 233519153191
BaseRepresentation
bin10100110100011…
…000010101011000
3220100020000212220
4110310120111120
51203403303410
654354104040
711440535601
oct2464302530
9810200786
10349275480
1116a17a924
1298b7b020
13574914a8
143455cda8
15209e4070
hex14d18558

349275480 has 64 divisors (see below), whose sum is σ = 1102982400. Its totient is φ = 88237440.

The previous prime is 349275431. The next prime is 349275491. The reversal of 349275480 is 84572943.

It is a congruent number.

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, 74316 + ... + 78875.

It is an arithmetic number, because the mean of its divisors is an integer number (17234100).

Almost surely, 2349275480 is an apocalyptic number.

349275480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349275480 is an abundant number, since it is smaller than the sum of its proper divisors (753706920).

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

349275480 is a wasteful number, since it uses less digits than its factorization.

349275480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153224 (or 153220 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 349275480 is about 18688.9132910397. The cubic root of 349275480 is about 704.2432602437.

The spelling of 349275480 in words is "three hundred forty-nine million, two hundred seventy-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 153191 306382 459573 612764 765955 919146 1225528 1531910 1838292 2297865 2910629 3063820 3676584 4595730 5821258 6127640 8731887 9191460 11642516 14553145 17463774 18382920 23285032 29106290 34927548 43659435 58212580 69855096 87318870 116425160 174637740 349275480