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3830344500 = 223533182373
BaseRepresentation
bin1110010001001110…
…0110101100110100
3100212221110122212010
43210103212230310
530321032011000
61432025324220
7163630251063
oct34423465464
910787418763
103830344500
111696147574
128aa936670
13490730148
142849d01da
15176411d50
hexe44e6b34

3830344500 has 96 divisors (see below), whose sum is σ = 11513908224. Its totient is φ = 988464000.

The previous prime is 3830344493. The next prime is 3830344549. The reversal of 3830344500 is 54430383.

3830344500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5314 + ... + 87686.

It is an arithmetic number, because the mean of its divisors is an integer number (119936544).

Almost surely, 23830344500 is an apocalyptic number.

3830344500 is a gapful number since it is divisible by the number (30) 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 3830344500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756954112).

3830344500 is an abundant number, since it is smaller than the sum of its proper divisors (7683563724).

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

3830344500 is a wasteful number, since it uses less digits than its factorization.

3830344500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82426 (or 82414 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3830344500 is about 61889.7770233501. Note that the first 3 decimals coincide. The cubic root of 3830344500 is about 1564.6334546983.

Adding to 3830344500 its reverse (54430383), we get a palindrome (3884774883).

The spelling of 3830344500 in words is "three billion, eight hundred thirty million, three hundred forty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 125 150 155 186 250 300 310 372 375 465 500 620 750 775 930 1500 1550 1860 2325 3100 3875 4650 7750 9300 11625 15500 23250 46500 82373 164746 247119 329492 411865 494238 823730 988476 1235595 1647460 2059325 2471190 2553563 4118650 4942380 5107126 6177975 7660689 8237300 10214252 10296625 12355950 12767815 15321378 20593250 24711900 25535630 30642756 30889875 38303445 41186500 51071260 61779750 63839075 76606890 123559500 127678150 153213780 191517225 255356300 319195375 383034450 638390750 766068900 957586125 1276781500 1915172250 3830344500