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352670112 = 2534359379
BaseRepresentation
bin10101000001010…
…101000110100000
3220120121111110000
4111001111012200
51210240420422
654554540000
711511434514
oct2501250640
9816544400
10352670112
11171089303
129a137600
13580ac652
1434ba4144
1520e64cac
hex150551a0

352670112 has 120 divisors (see below), whose sum is σ = 1042826400. Its totient is φ = 116919936.

The previous prime is 352670107. The next prime is 352670119. The reversal of 352670112 is 211076253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (352670119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 930339 + ... + 930717.

It is an arithmetic number, because the mean of its divisors is an integer number (8690220).

Almost surely, 2352670112 is an apocalyptic number.

352670112 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 352670112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521413200).

352670112 is an abundant number, since it is smaller than the sum of its proper divisors (690156288).

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

352670112 is a wasteful number, since it uses less digits than its factorization.

352670112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 352670112 is about 18779.5130927295. The cubic root of 352670112 is about 706.5174377348.

The spelling of 352670112 in words is "three hundred fifty-two million, six hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 359 379 432 648 718 758 864 1077 1137 1296 1436 1516 2154 2274 2592 2872 3032 3231 3411 4308 4548 5744 6064 6462 6822 8616 9096 9693 10233 11488 12128 12924 13644 17232 18192 19386 20466 25848 27288 29079 30699 34464 36384 38772 40932 51696 54576 58158 61398 77544 81864 103392 109152 116316 122796 136061 155088 163728 232632 245592 272122 310176 327456 408183 465264 491184 544244 816366 930528 982368 1088488 1224549 1632732 2176976 2449098 3265464 3673647 4353952 4898196 6530928 7347294 9796392 11020941 13061856 14694588 19592784 22041882 29389176 39185568 44083764 58778352 88167528 117556704 176335056 352670112