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354309852 = 2231321743239
BaseRepresentation
bin10101000111100…
…101011011011100
3220200200210202010
4111013211123130
51211200403402
655054031220
711531404221
oct2507453334
9820623663
10354309852
11171aa9266
129a7a8510
1358534b00
14350ad948
152118aa6c
hex151e56dc

354309852 has 144 divisors (see below), whose sum is σ = 973969920. Its totient is φ = 99800064.

The previous prime is 354309847. The next prime is 354309913. The reversal of 354309852 is 258903453.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 354309852.

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, 1482349 + ... + 1482587.

It is an arithmetic number, because the mean of its divisors is an integer number (6763680).

Almost surely, 2354309852 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 354309852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486984960).

354309852 is an abundant number, since it is smaller than the sum of its proper divisors (619660068).

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

354309852 is a wasteful number, since it uses less digits than its factorization.

354309852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 354309852 is about 18823.1201451832. The cubic root of 354309852 is about 707.6107295464.

The spelling of 354309852 in words is "three hundred fifty-four million, three hundred nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 43 51 52 68 78 86 102 129 156 169 172 204 221 239 258 338 442 478 507 516 559 663 676 717 731 884 956 1014 1118 1326 1434 1462 1677 2028 2193 2236 2652 2868 2873 2924 3107 3354 4063 4386 5746 6214 6708 7267 8126 8619 8772 9321 9503 10277 11492 12189 12428 14534 16252 17238 18642 19006 20554 21801 24378 28509 29068 30831 34476 37284 38012 40391 41108 43602 48756 52819 57018 61662 80782 87204 105638 114036 121173 123324 123539 133601 158457 161564 174709 211276 242346 247078 267202 316914 349418 370617 400803 484692 494156 524127 534404 633828 686647 698836 741234 801606 1048254 1373294 1482468 1603212 1736813 2059941 2096508 2271217 2746588 3473626 4119882 4542434 5210439 6813651 6947252 8239764 9084868 10420878 13627302 20841756 27254604 29525821 59051642 88577463 118103284 177154926 354309852