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1224140034 = 231341503761
BaseRepresentation
bin100100011110110…
…1110010100000010
310011022102202102210
41020331232110002
510001334440114
6321245322550
742223006245
oct11075562402
93138382383
101224140034
11578aa4587
122a1b66456
131667c7120
14b881525c
1572708259
hex48f6e502

1224140034 has 64 divisors (see below), whose sum is σ = 2709842688. Its totient is φ = 366259200.

The previous prime is 1224140033. The next prime is 1224140041. The reversal of 1224140034 is 4300414221.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1224140033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1608214 + ... + 1608974.

It is an arithmetic number, because the mean of its divisors is an integer number (42341292).

Almost surely, 21224140034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224140034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354921344).

1224140034 is an abundant number, since it is smaller than the sum of its proper divisors (1485702654).

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

1224140034 is a wasteful number, since it uses less digits than its factorization.

1224140034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1224140034 is about 34987.7126145737. The cubic root of 1224140034 is about 1069.7370402229.

Adding to 1224140034 its reverse (4300414221), we get a palindrome (5524554255).

The spelling of 1224140034 in words is "one billion, two hundred twenty-four million, one hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 503 533 761 1006 1066 1509 1522 1599 2283 3018 3198 4566 6539 9893 13078 19617 19786 20623 29679 31201 39234 41246 59358 61869 62402 93603 123738 187206 268099 382783 405613 536198 765566 804297 811226 1148349 1216839 1608594 2296698 2433678 4976179 9952358 14928537 15694103 29857074 31388206 47082309 94164618 204023339 408046678 612070017 1224140034