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30419936 = 2517199281
BaseRepresentation
bin111010000001…
…0101111100000
32010020111022022
41310002233200
530241414221
63004001012
7516364601
oct164025740
963214268
1030419936
1116197a48
12a230168
1363c1181
14407bda8
152a0d4ab
hex1d02be0

30419936 has 48 divisors (see below), whose sum is σ = 63957600. Its totient is φ = 14192640.

The previous prime is 30419923. The next prime is 30419941. The reversal of 30419936 is 63991403.

It is a junction number, because it is equal to n+sod(n) for n = 30419896 and 30419905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108116 + ... + 108396.

It is an arithmetic number, because the mean of its divisors is an integer number (1332450).

Almost surely, 230419936 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 30419936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31978800).

30419936 is an abundant number, since it is smaller than the sum of its proper divisors (33537664).

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

30419936 is a wasteful number, since it uses less digits than its factorization.

30419936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 30419936 is about 5515.4270913502. The cubic root of 30419936 is about 312.1663587941.

The spelling of 30419936 in words is "thirty million, four hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 199 272 281 398 544 562 796 1124 1592 2248 3184 3383 4496 4777 6368 6766 8992 9554 13532 19108 27064 38216 54128 55919 76432 108256 111838 152864 223676 447352 894704 950623 1789408 1901246 3802492 7604984 15209968 30419936