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349411832 = 237111932939
BaseRepresentation
bin10100110100111…
…001100111111000
3220100110221220222
4110310321213320
51203422134312
654401035212
711441644250
oct2464714770
9810427828
10349411832
1116a263310
1299025b08
135750b583
1434596960
1520a1e672
hex14d399f8

349411832 has 64 divisors (see below), whose sum is σ = 821318400. Its totient is φ = 135383040.

The previous prime is 349411789. The next prime is 349411847. The reversal of 349411832 is 238114943.

It is a junction number, because it is equal to n+sod(n) for n = 349411792 and 349411801.

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, 117419 + ... + 120357.

It is an arithmetic number, because the mean of its divisors is an integer number (12833100).

Almost surely, 2349411832 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 349411832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410659200).

349411832 is an abundant number, since it is smaller than the sum of its proper divisors (471906568).

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

349411832 is a wasteful number, since it uses less digits than its factorization.

349411832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3152 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 349411832 is about 18692.5608732458. The cubic root of 349411832 is about 704.3348903844.

The spelling of 349411832 in words is "three hundred forty-nine million, four hundred eleven thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 193 308 386 616 772 1351 1544 2123 2702 2939 4246 5404 5878 8492 10808 11756 14861 16984 20573 23512 29722 32329 41146 59444 64658 82292 118888 129316 164584 226303 258632 452606 567227 905212 1134454 1810424 2268908 3970589 4537816 6239497 7941178 12478994 15882356 24957988 31764712 43676479 49915976 87352958 174705916 349411832