Search a number
-
+
100034320 = 2455323593
BaseRepresentation
bin1011111011001…
…10011100010000
320222020021021211
411331212130100
5201102044240
613532025504
72323164151
oct575463420
9228207254
10100034320
11515152a1
1229602294
1317956309
14d3dd928
158baebea
hex5f66710

100034320 has 40 divisors (see below), whose sum is σ = 236978136. Its totient is φ = 39257088.

The previous prime is 100034317. The next prime is 100034357. The reversal of 100034320 is 23430001.

It can be written as a sum of positive squares in 4 ways, for example, as 3444736 + 96589584 = 1856^2 + 9828^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 100034320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7557 + ... + 16036.

Almost surely, 2100034320 is an apocalyptic number.

100034320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100034320 is an abundant number, since it is smaller than the sum of its proper divisors (136943816).

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

100034320 is a wasteful number, since it uses less digits than its factorization.

100034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23659 (or 23653 counting only the distinct ones).

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

The square root of 100034320 is about 10001.7158527925. The cubic root of 100034320 is about 464.2119770641.

Adding to 100034320 its reverse (23430001), we get a palindrome (123464321).

The spelling of 100034320 in words is "one hundred million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 23593 47186 94372 117965 188744 235930 377488 471860 943720 1250429 1887440 2500858 5001716 6252145 10003432 12504290 20006864 25008580 50017160 100034320