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342819504 = 243237347
BaseRepresentation
bin10100011011110…
…000001010110000
3212220002000221200
4110123300022300
51200230211004
654003451200
711331626526
oct2433601260
9786060850
10342819504
11166570405
1296986b00
1356040aa1
143375c316
152016b239
hex146f02b0

342819504 has 120 divisors (see below), whose sum is σ = 1007048640. Its totient is φ = 108819072.

The previous prime is 342819443. The next prime is 342819509. The reversal of 342819504 is 405918243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (342819509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7294009 + ... + 7294055.

It is an arithmetic number, because the mean of its divisors is an integer number (8392072).

Almost surely, 2342819504 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 342819504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503524320).

342819504 is an abundant number, since it is smaller than the sum of its proper divisors (664229136).

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

342819504 is an equidigital number, since it uses as much as digits as its factorization.

342819504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 342819504 is about 18515.3856022498. The cubic root of 342819504 is about 699.8771920613.

The spelling of 342819504 in words is "three hundred forty-two million, eight hundred nineteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 47 48 72 74 94 111 141 144 148 188 222 282 296 333 376 423 444 564 592 666 752 846 888 1128 1332 1369 1692 1739 1776 2256 2664 2738 3384 3478 4107 5217 5328 5476 6768 6956 8214 10434 10952 12321 13912 15651 16428 20868 21904 24642 27824 31302 32856 41736 49284 50653 62604 64343 65712 83472 98568 101306 125208 128686 151959 193029 197136 202612 250416 257372 303918 386058 405224 455877 514744 579087 607836 772116 810448 911754 1029488 1158174 1215672 1544232 1823508 2316348 2380691 2431344 3088464 3647016 4632696 4761382 7142073 7294032 9265392 9522764 14284146 19045528 21426219 28568292 38091056 42852438 57136584 85704876 114273168 171409752 342819504