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3349834704 = 24353127793
BaseRepresentation
bin1100011110101010…
…0110101111010000
322122110022020100000
43013222212233100
523330024202304
61312222330000
7146004060636
oct30752465720
98573266300
103349834704
111469992437
12795a29900
13415010418
1423ac6d356
15149148939
hexc7aa6bd0

3349834704 has 120 divisors (see below), whose sum is σ = 10036079872. Its totient is φ = 1080552960.

The previous prime is 3349834693. The next prime is 3349834721. The reversal of 3349834704 is 4074389433.

It is a super-2 number, since 2×33498347042 = 22442785088245535232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3349834704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106632 + ... + 134424.

Almost surely, 23349834704 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 3349834704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018039936).

3349834704 is an abundant number, since it is smaller than the sum of its proper divisors (6686245168).

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

3349834704 is a wasteful number, since it uses less digits than its factorization.

3349834704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27847 (or 27829 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3349834704 is about 57877.7565563836. The cubic root of 3349834704 is about 1496.2625031461.

The spelling of 3349834704 in words is "three billion, three hundred forty-nine million, eight hundred thirty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 744 837 972 1116 1296 1488 1674 1944 2232 2511 3348 3888 4464 5022 6696 7533 10044 13392 15066 20088 27793 30132 40176 55586 60264 83379 111172 120528 166758 222344 250137 333516 444688 500274 667032 750411 861583 1000548 1334064 1500822 1723166 2001096 2251233 2584749 3001644 3446332 4002192 4502466 5169498 6003288 6753699 6892664 7754247 9004932 10338996 12006576 13507398 13785328 15508494 18009864 20677992 23262741 27014796 31016988 36019728 41355984 46525482 54029592 62033976 69788223 93050964 108059184 124067952 139576446 186101928 209364669 279152892 372203856 418729338 558305784 837458676 1116611568 1674917352 3349834704