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100287342 = 2335367523
BaseRepresentation
bin1011111101001…
…00001101101110
320222201010101000
411332210031232
5201133143332
613541301130
72325266631
oct576441556
9228633330
10100287342
1151678401
12297047a6
1317a1452c
14d467c18
158c0eb7c
hex5fa436e

100287342 has 64 divisors (see below), whose sum is σ = 230895360. Its totient is φ = 32247072.

The previous prime is 100287329. The next prime is 100287347. The reversal of 100287342 is 243782001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100287347) 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, 191493 + ... + 192015.

It is an arithmetic number, because the mean of its divisors is an integer number (3607740).

Almost surely, 2100287342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100287342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115447680).

100287342 is an abundant number, since it is smaller than the sum of its proper divisors (130608018).

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

100287342 is a wasteful number, since it uses less digits than its factorization.

100287342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 100287342 is about 10014.3567941231. The cubic root of 100287342 is about 464.6030326962.

The spelling of 100287342 in words is "one hundred million, two hundred eighty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 67 106 134 159 201 318 402 477 523 603 954 1046 1206 1431 1569 1809 2862 3138 3551 3618 4707 7102 9414 10653 14121 21306 27719 28242 31959 35041 55438 63918 70082 83157 95877 105123 166314 191754 210246 249471 315369 498942 630738 748413 946107 1496826 1857173 1892214 3714346 5571519 11143038 16714557 33429114 50143671 100287342