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3329239104 = 26338232341
BaseRepresentation
bin1100011001110000…
…0010100001000000
322121000112212111000
43012130002201000
523304241122404
61310205052000
7145334031312
oct30634024100
98530485430
103329239104
1114592a5684
1278ab57000
1341097bb89
1423822b7b2
1514742b339
hexc6702840

3329239104 has 112 divisors (see below), whose sum is σ = 9803424640. Its totient is φ = 1107924480.

The previous prime is 3329239057. The next prime is 3329239117. The reversal of 3329239104 is 4019329233.

It is a super-2 number, since 2×33292391042 = 22167666023205445632, which contains 22 as substring.

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

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, 1420974 + ... + 1423314.

Almost surely, 23329239104 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 3329239104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901712320).

3329239104 is an abundant number, since it is smaller than the sum of its proper divisors (6474185536).

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

3329239104 is a wasteful number, since it uses less digits than its factorization.

3329239104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3329239104 is about 57699.5589584531. The cubic root of 3329239104 is about 1493.1897349874.

The spelling of 3329239104 in words is "three billion, three hundred twenty-nine million, two hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 823 864 1646 1728 2341 2469 3292 4682 4938 6584 7023 7407 9364 9876 13168 14046 14814 18728 19752 21069 22221 26336 28092 29628 37456 39504 42138 44442 52672 56184 59256 63207 74912 79008 84276 88884 112368 118512 126414 149824 158016 168552 177768 224736 237024 252828 337104 355536 449472 474048 505656 674208 711072 1011312 1348416 1422144 1926643 2022624 3853286 4045248 5779929 7706572 11559858 15413144 17339787 23119716 30826288 34679574 46239432 52019361 61652576 69359148 92478864 104038722 123305152 138718296 184957728 208077444 277436592 369915456 416154888 554873184 832309776 1109746368 1664619552 3329239104