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100342004 = 2272737013
BaseRepresentation
bin1011111101100…
…01100011110100
320222210220100112
411332301203310
5201141421004
613542402152
72325615200
oct576614364
9228726315
10100342004
1151705484
1229730358
1317a33389
14d47db00
158c20e6e
hex5fb18f4

100342004 has 36 divisors (see below), whose sum is σ = 207095364. Its totient is φ = 42408576.

The previous prime is 100342003. The next prime is 100342043. The reversal of 100342004 is 400243001.

It can be written as a sum of positive squares in 2 ways, for example, as 71740900 + 28601104 = 8470^2 + 5348^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 100342004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100342003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10802 + ... + 17814.

It is an arithmetic number, because the mean of its divisors is an integer number (5752649).

Almost surely, 2100342004 is an apocalyptic number.

100342004 is a gapful number since it is divisible by the number (14) 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 100342004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103547682).

100342004 is an abundant number, since it is smaller than the sum of its proper divisors (106753360).

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

100342004 is a wasteful number, since it uses less digits than its factorization.

100342004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7104 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 100342004 is about 10017.0856041066. The cubic root of 100342004 is about 464.6874285857.

Adding to 100342004 its reverse (400243001), we get a palindrome (500585005).

The spelling of 100342004 in words is "one hundred million, three hundred forty-two thousand, four".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 1022 2044 3577 7013 7154 14026 14308 28052 49091 98182 196364 343637 511949 687274 1023898 1374548 2047796 3583643 7167286 14334572 25085501 50171002 100342004