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7342434 = 2331147263
BaseRepresentation
bin11100000000100101100010
3111211000221000
4130000211202
53334424214
6421212430
7116260341
oct34004542
914730830
107342434
114165530
122561116
1316a1048
14d91b58
159a0809
hex700962

7342434 has 64 divisors (see below), whose sum is σ = 18247680. Its totient is φ = 2169360.

The previous prime is 7342421. The next prime is 7342441. The reversal of 7342434 is 4342437.

It is a super-2 number, since 2×73424342 = 107822674088712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7342398 and 7342407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27787 + ... + 28049.

It is an arithmetic number, because the mean of its divisors is an integer number (285120).

Almost surely, 27342434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7342434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123840).

7342434 is an abundant number, since it is smaller than the sum of its proper divisors (10905246).

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

7342434 is a wasteful number, since it uses less digits than its factorization.

7342434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 7342434 is about 2709.6926024920. The cubic root of 7342434 is about 194.3628911030.

It can be divided in two parts, 7342 and 434, that added together give a 5-th power (7776 = 65).

The spelling of 7342434 in words is "seven million, three hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 263 282 297 423 517 526 594 789 846 1034 1269 1551 1578 2367 2538 2893 3102 4653 4734 5786 7101 8679 9306 12361 13959 14202 17358 24722 26037 27918 37083 52074 74166 78111 111249 135971 156222 222498 271942 333747 407913 667494 815826 1223739 2447478 3671217 7342434