Search a number
-
+
30540348 = 2233833407
BaseRepresentation
bin111010010000…
…0001000111100
32010110121111000
41310200020330
530304242343
63010330300
7520405626
oct164401074
963417430
1030540348
111626a463
12a289990
136433c17
1440adc16
152a33ed3
hex1d2023c

30540348 has 48 divisors (see below), whose sum is σ = 80156160. Its totient is φ = 10054512.

The previous prime is 30540337. The next prime is 30540359. The reversal of 30540348 is 84304503.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30540337) and next prime (30540359).

It is a super-2 number, since 2×305403482 = 1865425711922208, which contains 22 as substring.

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

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, 7261 + ... + 10667.

It is an arithmetic number, because the mean of its divisors is an integer number (1669920).

Almost surely, 230540348 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 30540348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40078080).

30540348 is an abundant number, since it is smaller than the sum of its proper divisors (49615812).

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

30540348 is a wasteful number, since it uses less digits than its factorization.

30540348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30540348 is about 5526.3322375695. The cubic root of 30540348 is about 312.5777018515.

The spelling of 30540348 in words is "thirty million, five hundred forty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 3407 4482 6814 8964 10221 13628 20442 30663 40884 61326 91989 122652 183978 282781 367956 565562 848343 1131124 1696686 2545029 3393372 5090058 7635087 10180116 15270174 30540348