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1000100340 = 2232519292427
BaseRepresentation
bin111011100111000…
…101000111110100
32120200212100202100
4323213011013310
54022011202330
6243123342100
733532466301
oct7347050764
92520770670
101000100340
11473592208
1223ab21930
1312c273a65
1496b760a8
155cc01060
hex3b9c51f4

1000100340 has 72 divisors (see below), whose sum is σ = 3193313760. Its totient is φ = 252656064.

The previous prime is 1000100303. The next prime is 1000100341. The reversal of 1000100340 is 430010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142794 + ... + 149633.

It is an arithmetic number, because the mean of its divisors is an integer number (44351580).

Almost surely, 21000100340 is an apocalyptic number.

1000100340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100340 is an abundant number, since it is smaller than the sum of its proper divisors (2193213420).

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

1000100340 is a wasteful number, since it uses less digits than its factorization.

1000100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292461 (or 292456 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000100340 is about 31624.3630765902. The cubic root of 1000100340 is about 1000.0334455480.

Adding to 1000100340 its reverse (430010001), we get a palindrome (1430110341).

The spelling of 1000100340 in words is "one billion, one hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 292427 584854 877281 1169708 1462135 1754562 2631843 2924270 3509124 4386405 5263686 5556113 5848540 8772810 10527372 11112226 13159215 16668339 17545620 22224452 26318430 27780565 33336678 50005017 52636860 55561130 66673356 83341695 100010034 111122260 166683390 200020068 250025085 333366780 500050170 1000100340