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100340032 = 261329277
BaseRepresentation
bin1011111101100…
…01000101000000
320222210210122111
411332301011000
5201141340112
613542345104
72325606352
oct576610500
9228723574
10100340032
1151703a51
122972b194
1317a32500
14d47d0d2
158c205a7
hex5fb1140

100340032 has 42 divisors (see below), whose sum is σ = 215629998. Its totient is φ = 46305792.

The previous prime is 100340017. The next prime is 100340063. The reversal of 100340032 is 230043001.

Adding to 100340032 its reverse (230043001), we get a palindrome (330383033).

It can be written as a sum of positive squares in 3 ways, for example, as 3041536 + 97298496 = 1744^2 + 9864^2 .

It is a super-2 number, since 2×1003400322 = 20136244043522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100339994 and 100340021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6178 + ... + 15454.

Almost surely, 2100340032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107814999).

100340032 is an abundant number, since it is smaller than the sum of its proper divisors (115289966).

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

100340032 is an equidigital number, since it uses as much as digits as its factorization.

100340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9315 (or 9292 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 100340032 is about 10016.9871717997. The cubic root of 100340032 is about 464.6843844314.

The spelling of 100340032 in words is "one hundred million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 9277 10816 18554 37108 74216 120601 148432 241202 296864 482404 593728 964808 1567813 1929616 3135626 3859232 6271252 7718464 12542504 25085008 50170016 100340032