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30841972 = 2272532969
BaseRepresentation
bin111010110100…
…1110001110100
32011000221020021
41311221301310
530343420342
63021014524
7523103200
oct165516164
964027207
1030841972
1116456037
12a3b4444
13650b2b5
14414bb00
152a93567
hex1d69c74

30841972 has 36 divisors (see below), whose sum is σ = 63991620. Its totient is φ = 12964224.

The previous prime is 30841969. The next prime is 30841973. The reversal of 30841972 is 27914803.

It can be written as a sum of positive squares in 2 ways, for example, as 8317456 + 22524516 = 2884^2 + 4746^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30841973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8904 + ... + 11872.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 230841972 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 30841972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31995810).

30841972 is an abundant number, since it is smaller than the sum of its proper divisors (33149648).

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

30841972 is a wasteful number, since it uses less digits than its factorization.

30841972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 30841972 is about 5553.5548975409. The cubic root of 30841972 is about 313.6033641221.

It can be divided in two parts, 30841 and 972, that added together give a palindrome (31813).

The spelling of 30841972 in words is "thirty million, eight hundred forty-one thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 2597 2969 5194 5938 10388 11876 20783 41566 83132 145481 157357 290962 314714 581924 629428 1101499 2202998 4405996 7710493 15420986 30841972