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352916028 = 22343141857
BaseRepresentation
bin10101000010010…
…001001000111100
3220121001222210000
4111002101020330
51210321303103
655004114300
711513510463
oct2502211074
9817058700
10352916028
11171237043
129a235990
135816756a
1434c299da
1520eb2aa3
hex1509123c

352916028 has 120 divisors (see below), whose sum is σ = 976719744. Its totient is φ = 110937600.

The previous prime is 352916023. The next prime is 352916099. The reversal of 352916028 is 820619253.

352916028 is a nontrivial binomial coefficient, being equal to C(26568, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 352915983 and 352916001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352916023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 411376 + ... + 412232.

Almost surely, 2352916028 is an apocalyptic number.

352916028 is the 26567-th triangular number and also the 13284-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352916028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488359872).

352916028 is an abundant number, since it is smaller than the sum of its proper divisors (623803716).

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

352916028 is a wasteful number, since it uses less digits than its factorization.

352916028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 352916028 is about 18786.0594058467. The cubic root of 352916028 is about 706.6816172028.

The spelling of 352916028 in words is "three hundred fifty-two million, nine hundred sixteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 41 54 62 81 82 93 108 123 124 162 164 186 246 279 324 369 372 492 558 738 837 857 1107 1116 1271 1476 1674 1714 2214 2511 2542 2571 3321 3348 3428 3813 4428 5022 5084 5142 6642 7626 7713 10044 10284 11439 13284 15252 15426 22878 23139 26567 30852 34317 35137 45756 46278 53134 68634 69417 70274 79701 92556 102951 105411 106268 137268 138834 140548 159402 205902 210822 239103 277668 316233 318804 411804 421644 478206 632466 717309 948699 956412 1089247 1264932 1434618 1897398 2151927 2178494 2846097 2869236 3267741 3794796 4303854 4356988 5692194 6535482 8607708 9803223 11384388 13070964 19606446 29409669 39212892 58819338 88229007 117638676 176458014 352916028