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342043440 = 24354730323
BaseRepresentation
bin10100011000110…
…010101100110000
3212211121121101120
4110120302230300
51200030342230
653535102240
711322215124
oct2430625460
9784547346
10342043440
11166090332
1296671980
1355b2b78b
14335d9584
1520066310
hex14632b30

342043440 has 80 divisors (see below), whose sum is σ = 1082930688. Its totient is φ = 89267968.

The previous prime is 342043433. The next prime is 342043441. The reversal of 342043440 is 44340243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 342043440.

It is not an unprimeable number, because it can be changed into a prime (342043441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3882 + ... + 26441.

Almost surely, 2342043440 is an apocalyptic number.

342043440 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 342043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541465344).

342043440 is an abundant number, since it is smaller than the sum of its proper divisors (740887248).

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

342043440 is a wasteful number, since it uses less digits than its factorization.

342043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30386 (or 30380 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 342043440 is about 18494.4164547033. The cubic root of 342043440 is about 699.3486730613.

Adding to 342043440 its reverse (44340243), we get a palindrome (386383683).

The spelling of 342043440 in words is "three hundred forty-two million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 30323 60646 90969 121292 151615 181938 242584 303230 363876 454845 485168 606460 727752 909690 1212920 1425181 1455504 1819380 2425840 2850362 3638760 4275543 5700724 7125905 7277520 8551086 11401448 14251810 17102172 21377715 22802896 28503620 34204344 42755430 57007240 68408688 85510860 114014480 171021720 342043440