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1303342000 = 24537379113
BaseRepresentation
bin100110110101111…
…0110101110110000
310100211110122002221
41031223312232300
510132123421000
6333155050424
744204136622
oct11553665660
93324418087
101303342000
11609780154
123045a0a14
1317a0381ac
14c5150c12
157965061a
hex4daf6bb0

1303342000 has 160 divisors (see below), whose sum is σ = 3263719680. Its totient is φ = 503193600.

The previous prime is 1303341973. The next prime is 1303342087. The reversal of 1303342000 is 2433031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11533944 + ... + 11534056.

It is an arithmetic number, because the mean of its divisors is an integer number (20398248).

Almost surely, 21303342000 is an apocalyptic number.

1303342000 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 1303342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631859840).

1303342000 is an abundant number, since it is smaller than the sum of its proper divisors (1960377680).

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

1303342000 is a wasteful number, since it uses less digits than its factorization.

1303342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1303342000 is about 36101.8282085548. The cubic root of 1303342000 is about 1092.3273225227.

Adding to 1303342000 its reverse (2433031), we get a palindrome (1305775031).

The spelling of 1303342000 in words is "one billion, three hundred three million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 79 80 100 113 125 146 158 200 226 250 292 316 365 395 400 452 500 565 584 632 730 790 904 1000 1130 1168 1264 1460 1580 1808 1825 1975 2000 2260 2825 2920 3160 3650 3950 4520 5650 5767 5840 6320 7300 7900 8249 8927 9040 9125 9875 11300 11534 14125 14600 15800 16498 17854 18250 19750 22600 23068 28250 28835 29200 31600 32996 35708 36500 39500 41245 44635 45200 46136 56500 57670 65992 71416 73000 79000 82490 89270 92272 113000 115340 131984 142832 144175 146000 158000 164980 178540 206225 223175 226000 230680 288350 329960 357080 412450 446350 461360 576700 651671 659920 714160 720875 824900 892700 1031125 1115875 1153400 1303342 1441750 1649800 1785400 2062250 2231750 2306800 2606684 2883500 3258355 3299600 3570800 4124500 4463500 5213368 5767000 6516710 8249000 8927000 10426736 11534000 13033420 16291775 16498000 17854000 26066840 32583550 52133680 65167100 81458875 130334200 162917750 260668400 325835500 651671000 1303342000