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203395104 = 25331121401
BaseRepresentation
bin11000001111110…
…01000000100000
3112011201112122000
430013321000200
5404032120404
632103244000
75016554433
oct1407710040
9464645560
10203395104
11a48a1830
1258149600
13331a5743
141d02781a
1512cca339
hexc1f9020

203395104 has 96 divisors (see below), whose sum is σ = 647196480. Its totient is φ = 61632000.

The previous prime is 203395081. The next prime is 203395109. The reversal of 203395104 is 401593302.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (203395109) 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, 1197 + ... + 20204.

It is an arithmetic number, because the mean of its divisors is an integer number (6741630).

Almost surely, 2203395104 is an apocalyptic number.

203395104 is a gapful number since it is divisible by the number (24) 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 203395104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323598240).

203395104 is an abundant number, since it is smaller than the sum of its proper divisors (443801376).

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

203395104 is a wasteful number, since it uses less digits than its factorization.

203395104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21431 (or 21417 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 203395104 is about 14261.6655408827. The cubic root of 203395104 is about 588.0941123829.

The spelling of 203395104 in words is "two hundred three million, three hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 21401 42802 64203 85604 128406 171208 192609 235411 256812 342416 385218 470822 513624 577827 684832 706233 770436 941644 1027248 1155654 1412466 1540872 1883288 2054496 2118699 2311308 2824932 3081744 3766576 4237398 4622616 5649864 6163488 6356097 7533152 8474796 9245232 11299728 12712194 16949592 18490464 22599456 25424388 33899184 50848776 67798368 101697552 203395104