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350265000 = 23354191229
BaseRepresentation
bin10100111000001…
…001111010101000
3220102002022020210
4110320021322220
51204131440000
654431221120
711452126521
oct2470117250
9812068223
10350265000
1116a796308
12993777a0
13577499c7
1434739848
1520b3c350
hex14e09ea8

350265000 has 160 divisors (see below), whose sum is σ = 1152756000. Its totient is φ = 88416000.

The previous prime is 350264983. The next prime is 350265007. The reversal of 350265000 is 562053.

It is not an unprimeable number, because it can be changed into a prime (350265007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284386 + ... + 285614.

It is an arithmetic number, because the mean of its divisors is an integer number (7204725).

Almost surely, 2350265000 is an apocalyptic number.

350265000 is a gapful number since it is divisible by the number (30) 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 350265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576378000).

350265000 is an abundant number, since it is smaller than the sum of its proper divisors (802491000).

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

350265000 is a wasteful number, since it uses less digits than its factorization.

350265000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 350265000 is about 18715.3680166862. The cubic root of 350265000 is about 704.9076887334.

The spelling of 350265000 in words is "three hundred fifty million, two hundred sixty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 625 750 760 950 1000 1140 1229 1250 1425 1500 1875 1900 2280 2375 2458 2500 2850 3000 3687 3750 3800 4750 4916 5000 5700 6145 7125 7374 7500 9500 9832 11400 11875 12290 14250 14748 15000 18435 19000 23351 23750 24580 28500 29496 30725 35625 36870 46702 47500 49160 57000 61450 70053 71250 73740 92175 93404 95000 116755 122900 140106 142500 147480 153625 184350 186808 233510 245800 280212 285000 307250 350265 368700 460875 467020 560424 583775 614500 700530 737400 768125 921750 934040 1167550 1229000 1401060 1536250 1751325 1843500 2304375 2335100 2802120 2918875 3072500 3502650 3687000 4608750 4670200 5837750 6145000 7005300 8756625 9217500 11675500 14010600 14594375 17513250 18435000 23351000 29188750 35026500 43783125 58377500 70053000 87566250 116755000 175132500 350265000