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30378048 = 2631741227
BaseRepresentation
bin111001111100…
…0100001000000
32010011100211220
41303320201000
530234044143
63003035040
7516131511
oct163704100
963140756
1030378048
1116169528
12a20ba80
1363a809c
14406aa08
152a00d83
hex1cf8840

30378048 has 112 divisors (see below), whose sum is σ = 87562944. Its totient is φ = 9256960.

The previous prime is 30378013. The next prime is 30378053. The reversal of 30378048 is 84087303.

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, 133711 + ... + 133937.

It is an arithmetic number, because the mean of its divisors is an integer number (781812).

Almost surely, 230378048 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 30378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43781472).

30378048 is an abundant number, since it is smaller than the sum of its proper divisors (57184896).

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

30378048 is a wasteful number, since it uses less digits than its factorization.

30378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 30378048 is about 5511.6284345010. The cubic root of 30378048 is about 312.0230094799.

The spelling of 30378048 in words is "thirty million, three hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 136 164 192 204 227 246 272 328 408 454 492 544 656 681 697 816 908 984 1088 1312 1362 1394 1632 1816 1968 2091 2624 2724 2788 3264 3632 3859 3936 4182 5448 5576 7264 7718 7872 8364 9307 10896 11152 11577 14528 15436 16728 18614 21792 22304 23154 27921 30872 33456 37228 43584 44608 46308 55842 61744 66912 74456 92616 111684 123488 133824 148912 158219 185232 223368 246976 297824 316438 370464 446736 474657 595648 632876 740928 893472 949314 1265752 1786944 1898628 2531504 3797256 5063008 7594512 10126016 15189024 30378048