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342107400 = 233521095231
BaseRepresentation
bin10100011001000…
…010010100001000
3212211201212010110
4110121002110020
51200034414100
653540314320
711322602445
oct2431022410
9784655113
10342107400
11166124398
12966a29a0
1355b5191b
14336149cc
152007a250
hex14642508

342107400 has 96 divisors (see below), whose sum is σ = 1070467200. Its totient is φ = 90374400.

The previous prime is 342107357. The next prime is 342107411. The reversal of 342107400 is 4701243.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62785 + ... + 68015.

It is an arithmetic number, because the mean of its divisors is an integer number (11150700).

Almost surely, 2342107400 is an apocalyptic number.

342107400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342107400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535233600).

342107400 is an abundant number, since it is smaller than the sum of its proper divisors (728359800).

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

342107400 is a wasteful number, since it uses less digits than its factorization.

342107400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 342107400 is about 18496.1455444101. The cubic root of 342107400 is about 699.3922616313.

Adding to 342107400 its reverse (4701243), we get a palindrome (346808643).

The spelling of 342107400 in words is "three hundred forty-two million, one hundred seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 109 120 150 200 218 300 327 436 545 600 654 872 1090 1308 1635 2180 2616 2725 3270 4360 5231 5450 6540 8175 10462 10900 13080 15693 16350 20924 21800 26155 31386 32700 41848 52310 62772 65400 78465 104620 125544 130775 156930 209240 261550 313860 392325 523100 570179 627720 784650 1046200 1140358 1569300 1710537 2280716 2850895 3138600 3421074 4561432 5701790 6842148 8552685 11403580 13684296 14254475 17105370 22807160 28508950 34210740 42763425 57017900 68421480 85526850 114035800 171053700 342107400