Search a number
-
+
3496951464 = 233239376761
BaseRepresentation
bin1101000001101111…
…0011111010101000
3100000201010112120220
43100123303322220
524130204421324
61334555450040
7152441411526
oct32033637250
910021115526
103496951464
111534a35436
12817156920
1343963cb66
14252607316
15157008b79
hexd06f3ea8

3496951464 has 64 divisors (see below), whose sum is σ = 9133568640. Its totient is φ = 1113615360.

The previous prime is 3496951433. The next prime is 3496951483. The reversal of 3496951464 is 4641596943.

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 15 ways as a sum of consecutive naturals, for example, 513844 + ... + 520604.

It is an arithmetic number, because the mean of its divisors is an integer number (142712010).

Almost surely, 23496951464 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 3496951464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566784320).

3496951464 is an abundant number, since it is smaller than the sum of its proper divisors (5636617176).

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

3496951464 is a wasteful number, since it uses less digits than its factorization.

3496951464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730 (or 7726 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The square root of 3496951464 is about 59135.0273864822. The cubic root of 3496951464 is about 1517.8535411859.

The spelling of 3496951464 in words is "three billion, four hundred ninety-six million, nine hundred fifty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 937 1874 2811 3748 5622 6761 7496 11244 13522 20283 21551 22488 27044 40566 43102 54088 64653 81132 86204 129306 155503 162264 172408 258612 311006 466509 517224 622012 933018 1244024 1866036 3732072 6335057 12670114 19005171 25340228 38010342 50680456 76020684 145706311 152041368 291412622 437118933 582825244 874237866 1165650488 1748475732 3496951464