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100340406 = 232192967151
BaseRepresentation
bin1011111101100…
…01001010110110
320222210211011100
411332301022312
5201141343111
613542350530
72325610425
oct576611266
9228724140
10100340406
1151704261
122972b446
1317a3272a
14d47d2bc
158c20756
hex5fb12b6

100340406 has 96 divisors (see below), whose sum is σ = 241862400. Its totient is φ = 29937600.

The previous prime is 100340363. The next prime is 100340413. The reversal of 100340406 is 604043001.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664431 + ... + 664581.

It is an arithmetic number, because the mean of its divisors is an integer number (2519400).

Almost surely, 2100340406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100340406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120931200).

100340406 is an abundant number, since it is smaller than the sum of its proper divisors (141521994).

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

100340406 is a wasteful number, since it uses less digits than its factorization.

100340406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 271 counting only the distinct ones).

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

The square root of 100340406 is about 10017.0058400702. The cubic root of 100340406 is about 464.6849617741.

Adding to 100340406 its reverse (604043001), we get a palindrome (704383407).

The spelling of 100340406 in words is "one hundred million, three hundred forty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 67 87 114 134 151 171 174 201 261 302 342 402 453 522 551 603 906 1102 1206 1273 1359 1653 1943 2546 2718 2869 3306 3819 3886 4379 4959 5738 5829 7638 8607 8758 9918 10117 11457 11658 13137 17214 17487 20234 22914 25821 26274 30351 34974 36917 39411 51642 60702 73834 78822 83201 91053 110751 166402 182106 192223 221502 249603 293393 332253 384446 499206 576669 586786 664506 748809 880179 1153338 1497618 1730007 1760358 2640537 3460014 5281074 5574467 11148934 16723401 33446802 50170203 100340406