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355254012 = 22344147569
BaseRepresentation
bin10101001011001…
…011111011111100
3220202110202220000
4111023023323330
51211421112022
655130154300
711542415661
oct2513137374
9822422800
10355254012
11172593663
129ab82990
13587a5799
1435277a68
15212c56ac
hex152cbefc

355254012 has 120 divisors (see below), whose sum is σ = 973304640. Its totient is φ = 112872960.

The previous prime is 355253993. The next prime is 355254013. The reversal of 355254012 is 210452553.

It is a happy number.

It is a super-2 number, since 2×3552540122 = 252410826084192288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355254013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 624064 + ... + 624632.

It is an arithmetic number, because the mean of its divisors is an integer number (8110872).

Almost surely, 2355254012 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 355254012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486652320).

355254012 is an abundant number, since it is smaller than the sum of its proper divisors (618050628).

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

355254012 is a wasteful number, since it uses less digits than its factorization.

355254012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 355254012 is about 18848.1832546270. The cubic root of 355254012 is about 708.2387158262.

The spelling of 355254012 in words is "three hundred fifty-five million, two hundred fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 47 54 81 82 94 108 123 141 162 164 188 246 282 324 369 423 492 564 569 738 846 1107 1138 1269 1476 1692 1707 1927 2214 2276 2538 3321 3414 3807 3854 4428 5076 5121 5781 6642 6828 7614 7708 10242 11562 13284 15228 15363 17343 20484 23124 23329 26743 30726 34686 46089 46658 52029 53486 61452 69372 69987 80229 92178 93316 104058 106972 139974 156087 160458 184356 208116 209961 240687 279948 312174 320916 419922 481374 624348 629883 722061 839844 962748 1096463 1259766 1444122 1889649 2166183 2192926 2519532 2888244 3289389 3779298 4332366 4385852 6578778 7558596 8664732 9868167 13157556 19736334 29604501 39472668 59209002 88813503 118418004 177627006 355254012