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343144675434 = 2311831012772239
BaseRepresentation
bin1001111111001010000…
…01000011100001101010
31012210201100020121222010
410333211001003201222
521110230014103214
6421345525140350
733535305421161
oct4774501034152
91183640217863
10343144675434
11122588250560
125660655a6b6
132648754bb62
14128732163d8
158dd52b6659
hex4fe504386a

343144675434 has 128 divisors (see below), whose sum is σ = 768306954240. Its totient is φ = 101300832000.

The previous prime is 343144675421. The next prime is 343144675469. The reversal of 343144675434 is 434576441343.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153256887 + ... + 153259125.

It is an arithmetic number, because the mean of its divisors is an integer number (6002398080).

Almost surely, 2343144675434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343144675434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384153477120).

343144675434 is an abundant number, since it is smaller than the sum of its proper divisors (425162278806).

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

343144675434 is a wasteful number, since it uses less digits than its factorization.

343144675434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716.

The product of its digits is 5806080, while the sum is 48.

The spelling of 343144675434 in words is "three hundred forty-three billion, one hundred forty-four million, six hundred seventy-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 83 101 166 202 249 277 303 498 554 606 831 913 1111 1662 1826 2222 2239 2739 3047 3333 4478 5478 6094 6666 6717 8383 9141 13434 16766 18282 22991 24629 25149 27977 45982 49258 50298 55954 68973 73887 83931 92213 137946 147774 167862 184426 185837 226139 252901 276639 307747 371674 452278 505802 553278 557511 615494 620203 678417 758703 923241 1115022 1240406 1356834 1517406 1846482 1860609 2044207 2322091 2487529 3721218 4088414 4644182 4975058 6132621 6822233 6966273 7462587 12265242 13644466 13932546 14925174 18769537 20466699 25543001 37539074 40933398 51086002 51476849 56308611 62640503 76629003 102953698 112617222 125281006 153258006 154430547 187921509 206464907 308861094 375843018 412929814 566245339 619394721 689045533 1132490678 1238789442 1378091066 1698736017 2067136599 3397472034 4134273198 5199161749 10398323498 15597485247 31194970494 57190779239 114381558478 171572337717 343144675434