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293342412 = 2231117612143
BaseRepresentation
bin10001011111000…
…000110011001100
3202102222100010210
4101133000303030
51100043424122
645035202420
710161240456
oct2137006314
9672870123
10293342412
11140647550
12822a6410
1348a096bc
142ad5d2d6
151ab4640c
hex117c0ccc

293342412 has 96 divisors (see below), whose sum is σ = 803948544. Its totient is φ = 82252800.

The previous prime is 293342389. The next prime is 293342417. The reversal of 293342412 is 214243392.

It is a self number, because there is not a number n which added to its sum of digits gives 293342412.

It is not an unprimeable number, because it can be changed into a prime (293342417) 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 31 ways as a sum of consecutive naturals, for example, 135813 + ... + 137955.

It is an arithmetic number, because the mean of its divisors is an integer number (8374464).

Almost surely, 2293342412 is an apocalyptic number.

293342412 is a gapful number since it is divisible by the number (22) 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 293342412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401974272).

293342412 is an abundant number, since it is smaller than the sum of its proper divisors (510606132).

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

293342412 is a wasteful number, since it uses less digits than its factorization.

293342412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2237 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 293342412 is about 17127.2418094683. The cubic root of 293342412 is about 664.4438503127.

The spelling of 293342412 in words is "two hundred ninety-three million, three hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 61 66 68 102 122 132 183 187 204 244 366 374 561 671 732 748 1037 1122 1342 2013 2074 2143 2244 2684 3111 4026 4148 4286 6222 6429 8052 8572 11407 12444 12858 22814 23573 25716 34221 36431 45628 47146 68442 70719 72862 94292 109293 130723 136884 141438 145724 218586 261446 282876 392169 400741 437172 522892 784338 801482 1202223 1437953 1568676 1602964 2222291 2404446 2875906 4313859 4444582 4808892 5751812 6666873 8627718 8889164 13333746 17255436 24445201 26667492 48890402 73335603 97780804 146671206 293342412