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30967400 = 2352672311
BaseRepresentation
bin111011000100…
…0011001101000
32011021022021202
41312020121220
530411424100
63023423332
7524134652
oct166103150
964238252
1030967400
11165312a2
12a454b48
136553409
1441816d2
152aba7d5
hex1d88668

30967400 has 48 divisors (see below), whose sum is σ = 73105440. Its totient is φ = 12196800.

The previous prime is 30967399. The next prime is 30967411. The reversal of 30967400 is 476903.

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 11 ways as a sum of consecutive naturals, for example, 12245 + ... + 14555.

It is an arithmetic number, because the mean of its divisors is an integer number (1523030).

Almost surely, 230967400 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 30967400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36552720).

30967400 is an abundant number, since it is smaller than the sum of its proper divisors (42138040).

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

30967400 is a wasteful number, since it uses less digits than its factorization.

30967400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 30967400 is about 5564.8360263354. The cubic root of 30967400 is about 314.0279094021.

The spelling of 30967400 in words is "thirty million, nine hundred sixty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2311 2680 3350 4622 6700 9244 11555 13400 18488 23110 46220 57775 92440 115550 154837 231100 309674 462200 619348 774185 1238696 1548370 3096740 3870925 6193480 7741850 15483700 30967400