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346113642 = 237173071579
BaseRepresentation
bin10100101000010…
…100011001101010
3220010021101122210
4110220110121222
51202101114032
654202225550
711401626450
oct2450243152
9803241583
10346113642
11168410336
1297ab52b6
1356925294
1433d789d0
15205bc2cc
hex14a1466a

346113642 has 64 divisors (see below), whose sum is σ = 840913920. Its totient is φ = 92710656.

The previous prime is 346113631. The next prime is 346113643. The reversal of 346113642 is 246311643.

346113642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (346113643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218409 + ... + 219987.

It is an arithmetic number, because the mean of its divisors is an integer number (13139280).

Almost surely, 2346113642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346113642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420456960).

346113642 is an abundant number, since it is smaller than the sum of its proper divisors (494800278).

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

346113642 is a wasteful number, since it uses less digits than its factorization.

346113642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915.

The product of its digits is 10368, while the sum is 30.

The square root of 346113642 is about 18604.1297028375. The cubic root of 346113642 is about 702.1117467257. Note that the first 3 decimals are identical.

The spelling of 346113642 in words is "three hundred forty-six million, one hundred thirteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 307 357 614 714 921 1579 1842 2149 3158 4298 4737 5219 6447 9474 10438 11053 12894 15657 22106 26843 31314 33159 36533 53686 66318 73066 80529 109599 161058 187901 219198 375802 484753 563703 969506 1127406 1454259 2908518 3393271 6786542 8240801 10179813 16481602 20359626 24722403 49444806 57685607 115371214 173056821 346113642