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330742048 = 25713532143
BaseRepresentation
bin10011101101101…
…011100100100000
3212001100102210111
4103231223210200
51134132221143
652452541104
711124155350
oct2355534440
9761312714
10330742048
1115a77143a
1292921794
13536a2770
1431cd6b60
151e08299d
hex13b6b920

330742048 has 96 divisors (see below), whose sum is σ = 816915456. Its totient is φ = 128314368.

The previous prime is 330742037. The next prime is 330742051. The reversal of 330742048 is 840247033.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 153265 + ... + 155407.

It is an arithmetic number, because the mean of its divisors is an integer number (8509536).

Almost surely, 2330742048 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 330742048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408457728).

330742048 is an abundant number, since it is smaller than the sum of its proper divisors (486173408).

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

330742048 is a wasteful number, since it uses less digits than its factorization.

330742048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 330742048 is about 18186.3148548572. The cubic root of 330742048 is about 691.5599014833.

The spelling of 330742048 in words is "three hundred thirty million, seven hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 53 56 91 104 106 112 182 208 212 224 364 371 416 424 689 728 742 848 1378 1456 1484 1696 2143 2756 2912 2968 4286 4823 5512 5936 8572 9646 11024 11872 15001 17144 19292 22048 27859 30002 34288 38584 55718 60004 68576 77168 111436 113579 120008 154336 195013 222872 227158 240016 390026 445744 454316 480032 780052 795053 891488 908632 1476527 1560104 1590106 1817264 2953054 3120208 3180212 3634528 5906108 6240416 6360424 10335689 11812216 12720848 20671378 23624432 25441696 41342756 47248864 82685512 165371024 330742048