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352014628 = 227210916477
BaseRepresentation
bin10100111110110…
…101000100100100
3220112101012021211
4110332311010210
51210103432003
654532521204
711503034500
oct2476650444
9815335254
10352014628
11170780889
1299a80204
1357c101a4
1434a73300
1520d8596d
hex14fb5124

352014628 has 36 divisors (see below), whose sum is σ = 723219420. Its totient is φ = 149470272.

The previous prime is 352014613. The next prime is 352014659. The reversal of 352014628 is 826410253.

It can be written as a sum of positive squares in 2 ways, for example, as 181764324 + 170250304 = 13482^2 + 13048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 352014628.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13126 + ... + 29602.

Almost surely, 2352014628 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 352014628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361609710).

352014628 is an abundant number, since it is smaller than the sum of its proper divisors (371204792).

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

352014628 is a wasteful number, since it uses less digits than its factorization.

352014628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16604 (or 16595 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 352014628 is about 18762.0528727536. The cubic root of 352014628 is about 706.0794475993.

The spelling of 352014628 in words is "three hundred fifty-two million, fourteen thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 436 763 1526 3052 5341 10682 16477 21364 32954 65908 115339 230678 461356 807373 1614746 1795993 3229492 3591986 7183972 12571951 25143902 50287804 88003657 176007314 352014628