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330780672 = 21234997
BaseRepresentation
bin10011101101110…
…101000000000000
3212001102101210000
4103231311000000
51134134440142
652453440000
711124406065
oct2355650000
9761371700
10330780672
1115a798462
1292940000
13536b7211
1431d06c6c
151e08e14c
hex13b75000

330780672 has 130 divisors (see below), whose sum is σ = 989128778. Its totient is φ = 110149632.

The previous prime is 330780643. The next prime is 330780683. The reversal of 330780672 is 276087033.

It can be written as a sum of positive squares in only one way, i.e., 318836736 + 11943936 = 17856^2 + 3456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 9 ways as a sum of consecutive naturals, for example, 331278 + ... + 332274.

Almost surely, 2330780672 is an apocalyptic number.

330780672 is a gapful number since it is divisible by the number (32) 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 330780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494564389).

330780672 is an abundant number, since it is smaller than the sum of its proper divisors (658348106).

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

330780672 is an frugal number, since it uses more digits than its factorization.

330780672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 330780672 is about 18187.3767212317. The cubic root of 330780672 is about 691.5868205179.

The spelling of 330780672 in words is "three hundred thirty million, seven hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 997 1024 1152 1296 1536 1728 1994 2048 2304 2592 2991 3072 3456 3988 4096 4608 5184 5982 6144 6912 7976 8973 9216 10368 11964 12288 13824 15952 17946 18432 20736 23928 26919 27648 31904 35892 36864 41472 47856 53838 55296 63808 71784 80757 82944 95712 107676 110592 127616 143568 161514 165888 191424 215352 255232 287136 323028 331776 382848 430704 510464 574272 646056 765696 861408 1020928 1148544 1292112 1531392 1722816 2041856 2297088 2584224 3062784 3445632 4083712 4594176 5168448 6125568 6891264 9188352 10336896 12251136 13782528 18376704 20673792 27565056 36753408 41347584 55130112 82695168 110260224 165390336 330780672