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349255536 = 24372163911
BaseRepresentation
bin10100110100010…
…011011101110000
3220100012000112020
4110310103131300
51203402134121
654353431440
711440423500
oct2464233560
9810160466
10349255536
1116a166943
1298b6b580
13574853a6
1434555a00
15209dd1c6
hex14d13770

349255536 has 120 divisors (see below), whose sum is σ = 1057146624. Its totient is φ = 99066240.

The previous prime is 349255519. The next prime is 349255559. The reversal of 349255536 is 635552943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382921 + ... + 383831.

Almost surely, 2349255536 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 349255536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528573312).

349255536 is an abundant number, since it is smaller than the sum of its proper divisors (707891088).

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

349255536 is a wasteful number, since it uses less digits than its factorization.

349255536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1086 counting only the distinct ones).

The product of its digits is 486000, while the sum is 42.

The square root of 349255536 is about 18688.3797050467. The cubic root of 349255536 is about 704.2298556431.

The spelling of 349255536 in words is "three hundred forty-nine million, two hundred fifty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 163 168 196 294 326 336 392 489 588 652 784 911 978 1141 1176 1304 1822 1956 2282 2352 2608 2733 3423 3644 3912 4564 5466 6377 6846 7288 7824 7987 9128 10932 12754 13692 14576 15974 18256 19131 21864 23961 25508 27384 31948 38262 43728 44639 47922 51016 54768 63896 76524 89278 95844 102032 127792 133917 148493 153048 178556 191688 267834 296986 306096 357112 383376 445479 535668 593972 714224 890958 1039451 1071336 1187944 1781916 2078902 2142672 2375888 3118353 3563832 4157804 6236706 7127664 7276157 8315608 12473412 14552314 16631216 21828471 24946824 29104628 43656942 49893648 58209256 87313884 116418512 174627768 349255536