Search a number
-
+
340020504 = 23341927617
BaseRepresentation
bin10100010001000…
…100110100011000
3212200210211110000
4110101010310120
51144021124004
653423453000
711266061265
oct2421046430
9780724400
10340020504
11164a2948a
1295a57160
13555a0a85
143323026c
151ecb6c39
hex14444d18

340020504 has 80 divisors (see below), whose sum is σ = 1002533400. Its totient is φ = 107371008.

The previous prime is 340020497. The next prime is 340020557. The reversal of 340020504 is 405020043.

It is a happy number.

It is a super-3 number, since 3×3400205043 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1497 + ... + 26120.

Almost surely, 2340020504 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 340020504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501266700).

340020504 is an abundant number, since it is smaller than the sum of its proper divisors (662512896).

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

340020504 is a wasteful number, since it uses less digits than its factorization.

340020504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27654 (or 27641 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 340020504 is about 18439.6448989670. The cubic root of 340020504 is about 697.9672346368.

Adding to 340020504 its reverse (405020043), we get a palindrome (745040547).

The spelling of 340020504 in words is "three hundred forty million, twenty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 6156 12312 27617 55234 82851 110468 165702 220936 248553 331404 497106 524723 662808 745659 994212 1049446 1491318 1574169 1988424 2098892 2236977 2982636 3148338 4197784 4473954 4722507 5965272 6296676 8947908 9445014 12593352 14167521 17895816 18890028 28335042 37780056 42502563 56670084 85005126 113340168 170010252 340020504