Search a number
-
+
3499084416 = 27322973967
BaseRepresentation
bin1101000010001111…
…1100101010000000
3100000212010220110010
43100203330222000
524131231200131
61335113304520
7152465504202
oct32043745200
910025126403
103499084416
111536161a03
12817a05140
13439c08969
14252a00772
151572cab46
hexd08fca80

3499084416 has 64 divisors (see below), whose sum is σ = 9300833280. Its totient is φ = 1165559808.

The previous prime is 3499084411. The next prime is 3499084423. The reversal of 3499084416 is 6144809943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34990844162 = 24487183500588122112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3499084411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 880065 + ... + 884031.

It is an arithmetic number, because the mean of its divisors is an integer number (145325520).

Almost surely, 23499084416 is an apocalyptic number.

It is an amenable number.

3499084416 is an abundant number, since it is smaller than the sum of its proper divisors (5801748864).

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

3499084416 is a wasteful number, since it uses less digits than its factorization.

3499084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281 (or 6269 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 3499084416 is about 59153.0592277356. The cubic root of 3499084416 is about 1518.1620814261.

The spelling of 3499084416 in words is "three billion, four hundred ninety-nine million, eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2297 3967 4594 6891 7934 9188 11901 13782 15868 18376 23802 27564 31736 36752 47604 55128 63472 73504 95208 110256 126944 147008 190416 220512 253888 294016 380832 441024 507776 761664 882048 1523328 9112199 18224398 27336597 36448796 54673194 72897592 109346388 145795184 218692776 291590368 437385552 583180736 874771104 1166361472 1749542208 3499084416