Search a number
-
+
7670434434 = 231335310979
BaseRepresentation
bin1110010010011000…
…11000101010000010
3201210120021102221020
413021030120222002
5111202112400214
63305044010310
7361036421415
oct71114305202
921716242836
107670434434
11328683aa13
1215a0990996
13953193000
1452a9d9b7c
152ed5eb4a9
hex1c9318a82

7670434434 has 64 divisors (see below), whose sum is σ = 16933795200. Its totient is φ = 2315391936.

The previous prime is 7670434433. The next prime is 7670434537. The reversal of 7670434434 is 4344340767.

It is not an unprimeable number, because it can be changed into a prime (7670434433) 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 31 ways as a sum of consecutive naturals, for example, 693157 + ... + 704135.

It is an arithmetic number, because the mean of its divisors is an integer number (264590550).

Almost surely, 27670434434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7670434434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466897600).

7670434434 is an abundant number, since it is smaller than the sum of its proper divisors (9263360766).

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

7670434434 is a wasteful number, since it uses less digits than its factorization.

7670434434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11076 (or 11050 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 42.

The square root of 7670434434 is about 87581.0164019578. The cubic root of 7670434434 is about 1972.1501971256.

The spelling of 7670434434 in words is "seven billion, six hundred seventy million, four hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 169 318 338 507 689 1014 1378 2067 2197 4134 4394 6591 8957 10979 13182 17914 21958 26871 32937 53742 65874 116441 142727 232882 285454 349323 428181 581887 698646 856362 1163774 1745661 1855451 3491322 3710902 5566353 7564531 11132706 15129062 22693593 24120863 45387186 48241726 72362589 98338903 144725178 196677806 295016709 590033418 1278405739 2556811478 3835217217 7670434434