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355145076 = 22321113149463
BaseRepresentation
bin10101001010110…
…001010101110100
3220202021020110100
4111022301111310
51211404120301
655123554100
711541453246
oct2512612564
9822236410
10355145076
11172519830
129ab2b930
1358768020
143524a096
15212a3286
hex152b1574

355145076 has 144 divisors (see below), whose sum is σ = 1064044800. Its totient is φ = 98461440.

The previous prime is 355145069. The next prime is 355145123. The reversal of 355145076 is 670541553.

It is a super-2 number, since 2×3551450762 = 252256050014091552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 355145076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766821 + ... + 767283.

It is an arithmetic number, because the mean of its divisors is an integer number (7389200).

Almost surely, 2355145076 is an apocalyptic number.

355145076 is a gapful number since it is divisible by the number (36) 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 355145076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532022400).

355145076 is an abundant number, since it is smaller than the sum of its proper divisors (708899724).

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

355145076 is a wasteful number, since it uses less digits than its factorization.

355145076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 355145076 is about 18845.2932054665. The cubic root of 355145076 is about 708.1663163809.

The spelling of 355145076 in words is "three hundred fifty-five million, one hundred forty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 149 156 198 234 286 298 396 429 447 463 468 572 596 858 894 926 1287 1341 1389 1639 1716 1788 1852 1937 2574 2682 2778 3278 3874 4167 4917 5093 5148 5364 5556 5811 6019 6556 7748 8334 9834 10186 11622 12038 14751 15279 16668 17433 18057 19668 20372 21307 23244 24076 29502 30558 34866 36114 42614 45837 54171 59004 61116 63921 66209 68987 69732 72228 85228 91674 108342 127842 132418 137974 183348 191763 198627 206961 216684 255684 264836 275948 383526 397254 413922 595881 620883 758857 767052 794508 827844 896831 1191762 1241766 1517714 1793662 2276571 2383524 2483532 2690493 3035428 3587324 4553142 5380986 6829713 8071479 9106284 9865141 10761972 13659426 16142958 19730282 27318852 29595423 32285916 39460564 59190846 88786269 118381692 177572538 355145076