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100323414 = 23397107179
BaseRepresentation
bin1011111101011…
…01000001010110
320222202221212000
411332231001112
5201140322124
613542140130
72325510042
oct576550126
9228687760
10100323414
11516a2514
1229721646
1317a27a89
14d477022
158c1a6c9
hex5fad056

100323414 has 64 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 32603904.

The previous prime is 100323407. The next prime is 100323473. The reversal of 100323414 is 414323001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 560377 + ... + 560555.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2100323414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100323414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

100323414 is an abundant number, since it is smaller than the sum of its proper divisors (128290986).

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

100323414 is a wasteful number, since it uses less digits than its factorization.

100323414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100323414 is about 10016.1576465229. The cubic root of 100323414 is about 464.6587298271.

Adding to 100323414 its reverse (414323001), we get a palindrome (514646415).

The spelling of 100323414 in words is "one hundred million, three hundred twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 97 107 179 194 214 291 321 358 537 582 642 873 963 1074 1611 1746 1926 2619 2889 3222 4833 5238 5778 9666 10379 17363 19153 20758 31137 34726 38306 52089 57459 62274 93411 104178 114918 156267 172377 186822 280233 312534 344754 468801 517131 560466 937602 1034262 1857841 3715682 5573523 11147046 16720569 33441138 50161707 100323414