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100442328 = 23375471093
BaseRepresentation
bin1011111110010…
…10000011011000
320222222222222020
411333022003120
5201203123303
613544454440
72326513530
oct577120330
9228888866
10100442328
1151773898
122977a420
1317a69c3c
14d4a84c0
158c40a53
hex5fca0d8

100442328 has 64 divisors (see below), whose sum is σ = 287765760. Its totient is φ = 28619136.

The previous prime is 100442327. The next prime is 100442347. The reversal of 100442328 is 823244001.

It is a super-2 number, since 2×1004423282 = 20177322508119168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 100442298 and 100442307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100442327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91350 + ... + 92442.

It is an arithmetic number, because the mean of its divisors is an integer number (4496340).

Almost surely, 2100442328 is an apocalyptic number.

It is an amenable number.

100442328 is an abundant number, since it is smaller than the sum of its proper divisors (187323432).

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

100442328 is a wasteful number, since it uses less digits than its factorization.

100442328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 100442328 is about 10022.0919971830. The cubic root of 100442328 is about 464.8422450180.

Adding to 100442328 its reverse (823244001), we get a palindrome (923686329).

The spelling of 100442328 in words is "one hundred million, four hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 547 1093 1094 1641 2186 2188 3279 3282 3829 4372 4376 6558 6564 7651 7658 8744 11487 13116 13128 15302 15316 22953 22974 26232 30604 30632 45906 45948 61208 91812 91896 183624 597871 1195742 1793613 2391484 3587226 4185097 4782968 7174452 8370194 12555291 14348904 16740388 25110582 33480776 50221164 100442328