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349103232 = 2732674523
BaseRepresentation
bin10100110011101…
…110010010000000
3220022220021121100
4110303232102000
51203332300412
654350254400
711436220452
oct2463562200
9808807540
10349103232
1116a072475
1298ab7400
1357430c7a
14345162d2
15209acedc
hex14cee480

349103232 has 96 divisors (see below), whose sum is σ = 1019800080. Its totient is φ = 114605568.

The previous prime is 349103231. The next prime is 349103239. The reversal of 349103232 is 232301943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 349103196 and 349103205.

It is not an unprimeable number, because it can be changed into a prime (349103231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74923 + ... + 79445.

Almost surely, 2349103232 is an apocalyptic number.

349103232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509900040).

349103232 is an abundant number, since it is smaller than the sum of its proper divisors (670696848).

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

349103232 is a wasteful number, since it uses less digits than its factorization.

349103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 349103232 is about 18684.3044291191. The cubic root of 349103232 is about 704.1274734734.

The spelling of 349103232 in words is "three hundred forty-nine million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 268 288 384 402 536 576 603 804 1072 1152 1206 1608 2144 2412 3216 4288 4523 4824 6432 8576 9046 9648 12864 13569 18092 19296 25728 27138 36184 38592 40707 54276 72368 77184 81414 108552 144736 162828 217104 289472 303041 325656 434208 578944 606082 651312 868416 909123 1212164 1302624 1736832 1818246 2424328 2605248 2727369 3636492 4848656 5210496 5454738 7272984 9697312 10909476 14545968 19394624 21818952 29091936 38789248 43637904 58183872 87275808 116367744 174551616 349103232