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342487872 = 2633474217
BaseRepresentation
bin10100011010011…
…111001101000000
3212212110012001000
4110122133031000
51200134102442
653552412000
711326045626
oct2432371500
9785405030
10342487872
11166364231
1296847000
1355c55b5c
14336b3516
1520102d4c
hex1469f340

342487872 has 112 divisors (see below), whose sum is σ = 1028517120. Its totient is φ = 111707136.

The previous prime is 342487867. The next prime is 342487877. The reversal of 342487872 is 278784243.

It is an interprime number because it is at equal distance from previous prime (342487867) and next prime (342487877).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342487877) 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 15 ways as a sum of consecutive naturals, for example, 79108 + ... + 83324.

Almost surely, 2342487872 is an apocalyptic number.

342487872 is a gapful number since it is divisible by the number (32) 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 342487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514258560).

342487872 is an abundant number, since it is smaller than the sum of its proper divisors (686029248).

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

342487872 is a wasteful number, since it uses less digits than its factorization.

342487872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4269 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 342487872 is about 18506.4278562882. The cubic root of 342487872 is about 699.6514400714.

The spelling of 342487872 in words is "three hundred forty-two million, four hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 141 144 188 192 216 282 288 376 423 432 564 576 752 846 864 1128 1269 1504 1692 1728 2256 2538 3008 3384 4217 4512 5076 6768 8434 9024 10152 12651 13536 16868 20304 25302 27072 33736 37953 40608 50604 67472 75906 81216 101208 113859 134944 151812 198199 202416 227718 269888 303624 396398 404832 455436 594597 607248 792796 809664 910872 1189194 1214496 1585592 1783791 1821744 2378388 2428992 3171184 3567582 3643488 4756776 5351373 6342368 7135164 7286976 9513552 10702746 12684736 14270328 19027104 21405492 28540656 38054208 42810984 57081312 85621968 114162624 171243936 342487872