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349060516 = 227237127379
BaseRepresentation
bin10100110011100…
…011110110100100
3220022211010000021
4110303203312210
51203324414031
654345324524
711435652100
oct2463436644
9808733007
10349060516
1116a043372
1298a96744
13574176ac
1434504900
15209a0511
hex14ce3da4

349060516 has 72 divisors (see below), whose sum is σ = 737479680. Its totient is φ = 144027072.

The previous prime is 349060513. The next prime is 349060529. The reversal of 349060516 is 615060943.

It is not an unprimeable number, because it can be changed into a prime (349060513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920815 + ... + 921193.

Almost surely, 2349060516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349060516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368739840).

349060516 is an abundant number, since it is smaller than the sum of its proper divisors (388419164).

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

349060516 is a wasteful number, since it uses less digits than its factorization.

349060516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 349060516 is about 18683.1612956694. The cubic root of 349060516 is about 704.0987534720.

The spelling of 349060516 in words is "three hundred forty-nine million, sixty thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 37 49 74 98 127 148 196 254 259 379 508 518 758 889 1036 1516 1778 1813 2653 3556 3626 4699 5306 6223 7252 9398 10612 12446 14023 18571 18796 24892 28046 32893 37142 48133 56092 65786 74284 96266 98161 131572 192532 196322 230251 336931 392644 460502 673862 687127 921004 1347724 1374254 1780921 2358517 2748508 3561842 4717034 7123684 9434068 12466447 24932894 49865788 87265129 174530258 349060516