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30373416 = 2332974349
BaseRepresentation
bin111001111011…
…1011000101000
32010011010111100
41303313120220
530233422131
63003001400
7516112143
oct163673050
963133440
1030373416
1116165aa7
12a209260
1363a5c48
14406905a
1529ee7e6
hex1cf7628

30373416 has 48 divisors (see below), whose sum is σ = 83128500. Its totient is φ = 10017792.

The previous prime is 30373403. The next prime is 30373423. The reversal of 30373416 is 61437303.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26936100 + 3437316 = 5190^2 + 1854^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30373416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4810 + ... + 9158.

Almost surely, 230373416 is an apocalyptic number.

30373416 is a gapful number since it is divisible by the number (36) 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 30373416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41564250).

30373416 is an abundant number, since it is smaller than the sum of its proper divisors (52755084).

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

30373416 is a wasteful number, since it uses less digits than its factorization.

30373416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 30373416 is about 5511.2082159904. The cubic root of 30373416 is about 312.0071497375.

The spelling of 30373416 in words is "thirty million, three hundred seventy-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 4349 6984 8698 13047 17396 26094 34792 39141 52188 78282 104376 156564 313128 421853 843706 1265559 1687412 2531118 3374824 3796677 5062236 7593354 10124472 15186708 30373416