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352130000 = 2454231531
BaseRepresentation
bin10100111111010…
…001001111010000
3220112121001112212
4110333101033100
51210121130000
654535211252
711504025035
oct2477211720
9815531485
10352130000
1117084a532
1299b16b28
1357c50861
1434aa338c
1520da9c35
hex14fd13d0

352130000 has 100 divisors (see below), whose sum is σ = 890190048. Its totient is φ = 134640000.

The previous prime is 352129963. The next prime is 352130011. The reversal of 352130000 is 31253.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229235 + ... + 230765.

Almost surely, 2352130000 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 352130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445095024).

352130000 is an abundant number, since it is smaller than the sum of its proper divisors (538060048).

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

352130000 is a wasteful number, since it uses less digits than its factorization.

352130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 352130000 is about 18765.1272311168. The cubic root of 352130000 is about 706.1565778221.

Adding to 352130000 its reverse (31253), we get a palindrome (352161253).

The spelling of 352130000 in words is "three hundred fifty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1531 1840 2000 2300 2500 2875 3062 4600 5000 5750 6124 7655 9200 10000 11500 12248 14375 15310 23000 24496 28750 30620 35213 38275 46000 57500 61240 70426 76550 115000 122480 140852 153100 176065 191375 230000 281704 306200 352130 382750 563408 612400 704260 765500 880325 956875 1408520 1531000 1760650 1913750 2817040 3062000 3521300 3827500 4401625 7042600 7655000 8803250 14085200 15310000 17606500 22008125 35213000 44016250 70426000 88032500 176065000 352130000