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1000034200 = 2352112511811
BaseRepresentation
bin111011100110110…
…100111110011000
32120200202000000201
4323212310332120
54022002043300
6243122111544
733532102414
oct7346647630
92520660021
101000034200
11473547550
1223aaab5b4
1312c24c919
1496b59d44
155cbdb66a
hex3b9b4f98

1000034200 has 96 divisors (see below), whose sum is σ = 2547961920. Its totient is φ = 362000000.

The previous prime is 1000034179. The next prime is 1000034237. The reversal of 1000034200 is 24300001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551295 + ... + 553105.

It is an arithmetic number, because the mean of its divisors is an integer number (26541270).

Almost surely, 21000034200 is an apocalyptic number.

1000034200 is a gapful number since it is divisible by the number (10) 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 1000034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273980960).

1000034200 is an abundant number, since it is smaller than the sum of its proper divisors (1547927720).

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

1000034200 is a wasteful number, since it uses less digits than its factorization.

1000034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1000034200 is about 31623.3173465404. The cubic root of 1000034200 is about 1000.0113998700.

Adding to 1000034200 its reverse (24300001), we get a palindrome (1024334201).

The spelling of 1000034200 in words is "one billion, thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 251 275 440 502 550 1004 1100 1255 1811 2008 2200 2510 2761 3622 5020 5522 6275 7244 9055 10040 11044 12550 13805 14488 18110 19921 22088 25100 27610 36220 39842 45275 50200 55220 69025 72440 79684 90550 99605 110440 138050 159368 181100 199210 276100 362200 398420 454561 498025 552200 796840 909122 996050 1818244 1992100 2272805 3636488 3984200 4545610 5000171 9091220 10000342 11364025 18182440 20000684 22728050 25000855 40001368 45456100 50001710 90912200 100003420 125004275 200006840 250008550 500017100 1000034200