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342694144 = 28132892
BaseRepresentation
bin10100011011010…
…001100100000000
3212212211122222201
4110123101210000
51200212203034
654001042544
711330565202
oct2433214400
9785748881
10342694144
11166495201
1296926454
1355cc8a00
1433728772
1520144014
hex146d1900

342694144 has 81 divisors (see below), whose sum is σ = 749132643. Its totient is φ = 156389376.

The previous prime is 342694139. The next prime is 342694153. The reversal of 342694144 is 441496243.

The square root of 342694144 is 18512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 149817600 + 192876544 = 12240^2 + 13888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3850452 + ... + 3850540.

Almost surely, 2342694144 is an apocalyptic number.

342694144 is the 18512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342694144

342694144 is an abundant number, since it is smaller than the sum of its proper divisors (406438499).

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

342694144 is an frugal number, since it uses more digits than its factorization.

342694144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 104 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The cubic root of 342694144 is about 699.7918728187.

Multiplying 342694144 by its product of digits (82944), we get a square (28424423079936 = 53314562).

The spelling of 342694144 in words is "three hundred forty-two million, six hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 169 178 208 256 338 356 416 676 712 832 1157 1352 1424 1664 2314 2704 2848 3328 4628 5408 5696 7921 9256 10816 11392 15041 15842 18512 21632 22784 30082 31684 37024 43264 60164 63368 74048 102973 120328 126736 148096 205946 240656 253472 296192 411892 481312 506944 823784 962624 1013888 1338649 1647568 1925248 2027776 2677298 3295136 3850496 5354596 6590272 10709192 13180544 21418384 26361088 42836768 85673536 171347072 342694144