Search a number
-
+
38310132 = 22371373329
BaseRepresentation
bin1001001000100…
…1000011110100
32200002100121210
42102021003310
534301411012
63445041420
7643426230
oct222110364
980070553
1038310132
111a696a73
12109b6270
137c24623
1451335c0
15356b23c
hex24890f4

38310132 has 48 divisors (see below), whose sum is σ = 102936960. Its totient is φ = 10862592.

The previous prime is 38310101. The next prime is 38310143. The reversal of 38310132 is 23101383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 38310099 and 38310108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9844 + ... + 13172.

It is an arithmetic number, because the mean of its divisors is an integer number (2144520).

Almost surely, 238310132 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 38310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51468480).

38310132 is an abundant number, since it is smaller than the sum of its proper divisors (64626828).

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

38310132 is a wasteful number, since it uses less digits than its factorization.

38310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 38310132 is about 6189.5179133758. The cubic root of 38310132 is about 337.1096744061.

The spelling of 38310132 in words is "thirty-eight million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2877 3329 3836 5754 6658 9987 11508 13316 19974 23303 39948 46606 69909 93212 139818 279636 456073 912146 1368219 1824292 2736438 3192511 5472876 6385022 9577533 12770044 19155066 38310132