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349948440 = 23325972079
BaseRepresentation
bin10100110110111…
…100101000011000
3220101111020000100
4110312330220120
51204041322230
654420335400
711446340562
oct2466745030
9811436010
10349948440
1116a59a496
1299244560
13576688aa
1434696332
1520ac8660
hex14dbca18

349948440 has 48 divisors (see below), whose sum is σ = 1137333600. Its totient is φ = 93319488.

The previous prime is 349948439. The next prime is 349948483. The reversal of 349948440 is 44849943.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485680 + ... + 486399.

It is an arithmetic number, because the mean of its divisors is an integer number (23694450).

Almost surely, 2349948440 is an apocalyptic number.

349948440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349948440 is an abundant number, since it is smaller than the sum of its proper divisors (787385160).

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

349948440 is a wasteful number, since it uses less digits than its factorization.

349948440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972096 (or 972089 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 349948440 is about 18706.9088841529. The cubic root of 349948440 is about 704.6952659144.

It can be divided in two parts, 34994 and 8440, that added together give a palindrome (43434).

The spelling of 349948440 in words is "three hundred forty-nine million, nine hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 972079 1944158 2916237 3888316 4860395 5832474 7776632 8748711 9720790 11664948 14581185 17497422 19441580 23329896 29162370 34994844 38883160 43743555 58324740 69989688 87487110 116649480 174974220 349948440