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3373000704 = 2113420333
BaseRepresentation
bin1100100100001011…
…1110100000000000
322201001220012010000
43021002332200000
523401442010304
61314411040000
7146405014203
oct31102764000
98631805100
103373000704
111480a75397
127a1740000
13419a61908
1423dd7d93a
1514b1c2939
hexc90be800

3373000704 has 120 divisors (see below), whose sum is σ = 10075395330. Its totient is φ = 1124278272.

The previous prime is 3373000681. The next prime is 3373000721. The reversal of 3373000704 is 4070003733.

It can be written as a sum of positive squares in only one way, i.e., 1992729600 + 1380271104 = 44640^2 + 37152^2 .

It is a super-2 number, since 2×33730007042 = 22754267498368991232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 155722 + ... + 176054.

Almost surely, 23373000704 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 3373000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037697665).

3373000704 is an abundant number, since it is smaller than the sum of its proper divisors (6702394626).

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

3373000704 is an equidigital number, since it uses as much as digits as its factorization.

3373000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20367 (or 20338 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 3373000704 is about 58077.5404437895. The cubic root of 3373000704 is about 1499.7037494943.

The spelling of 3373000704 in words is "three billion, three hundred seventy-three million, seven hundred four", and thus it is an aban number.

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 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4608 5184 6144 6912 9216 10368 13824 18432 20333 20736 27648 40666 41472 55296 60999 81332 82944 121998 162664 165888 182997 243996 325328 365994 487992 548991 650656 731988 975984 1097982 1301312 1463976 1646973 1951968 2195964 2602624 2927952 3293946 3903936 4391928 5205248 5855904 6587892 7807872 8783856 10410496 11711808 13175784 15615744 17567712 20820992 23423616 26351568 31231488 35135424 41641984 46847232 52703136 62462976 70270848 93694464 105406272 124925952 140541696 187388928 210812544 281083392 374777856 421625088 562166784 843250176 1124333568 1686500352 3373000704