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100342320 = 243513291109
BaseRepresentation
bin1011111101100…
…01101000110000
320222210220210020
411332301220300
5201141423240
613542403440
72325616131
oct576615060
9228726706
10100342320
1151705741
1229730580
1317a33570
14d47dc88
158c210d0
hex5fb1a30

100342320 has 160 divisors (see below), whose sum is σ = 346852800. Its totient is φ = 23826432.

The previous prime is 100342301. The next prime is 100342327. The reversal of 100342320 is 23243001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100342320.

It is not an unprimeable number, because it can be changed into a prime (100342327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89926 + ... + 91034.

It is an arithmetic number, because the mean of its divisors is an integer number (2167830).

Almost surely, 2100342320 is an apocalyptic number.

100342320 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 100342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173426400).

100342320 is an abundant number, since it is smaller than the sum of its proper divisors (246510480).

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

100342320 is a wasteful number, since it uses less digits than its factorization.

100342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 100342320 is about 10017.1013771450. The cubic root of 100342320 is about 464.6879163876.

Adding to 100342320 its reverse (23243001), we get a palindrome (123585321).

The spelling of 100342320 in words is "one hundred million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 624 696 754 780 870 1040 1109 1131 1160 1392 1508 1560 1740 1885 2218 2262 2320 3016 3120 3327 3480 3770 4436 4524 5545 5655 6032 6654 6960 7540 8872 9048 11090 11310 13308 14417 15080 16635 17744 18096 22180 22620 26616 28834 30160 32161 33270 43251 44360 45240 53232 57668 64322 66540 72085 86502 88720 90480 96483 115336 128644 133080 144170 160805 173004 192966 216255 230672 257288 266160 288340 321610 346008 385932 418093 432510 482415 514576 576680 643220 692016 771864 836186 865020 964830 1153360 1254279 1286440 1543728 1672372 1730040 1929660 2090465 2508558 2572880 3344744 3460080 3859320 4180930 5017116 6271395 6689488 7718640 8361860 10034232 12542790 16723720 20068464 25085580 33447440 50171160 100342320