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1434015420 = 2235127307613
BaseRepresentation
bin101010101111001…
…0101011010111100
310200221100112100020
41111132111122330
510414101443140
6354143532140
750351633655
oct12536253274
93627315306
101434015420
11676512012
123402ba050
1319b12b346
14d864852c
1585d636d0
hex557956bc

1434015420 has 96 divisors (see below), whose sum is σ = 4066664448. Its totient is φ = 377540352.

The previous prime is 1434015409. The next prime is 1434015421. The reversal of 1434015420 is 245104341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434015421) 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, 2339034 + ... + 2339646.

It is an arithmetic number, because the mean of its divisors is an integer number (42361088).

Almost surely, 21434015420 is an apocalyptic number.

1434015420 is a gapful number since it is divisible by the number (10) 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 1434015420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033332224).

1434015420 is an abundant number, since it is smaller than the sum of its proper divisors (2632649028).

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

1434015420 is a wasteful number, since it uses less digits than its factorization.

1434015420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1434015420 is about 37868.3960579267. The cubic root of 1434015420 is about 1127.6766998873.

Adding to 1434015420 its reverse (245104341), we get a palindrome (1679119761).

The spelling of 1434015420 in words is "one billion, four hundred thirty-four million, fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 307 381 508 613 614 635 762 921 1226 1228 1270 1524 1535 1839 1842 1905 2452 2540 3065 3070 3678 3684 3810 4605 6130 6140 7356 7620 9195 9210 12260 18390 18420 36780 38989 77851 77978 116967 155702 155956 188191 194945 233553 233934 311404 376382 389255 389890 467106 467868 564573 584835 752764 778510 779780 934212 940955 1129146 1167765 1169670 1557020 1881910 2258292 2335530 2339340 2822865 3763820 4671060 5645730 11291460 23900257 47800514 71700771 95601028 119501285 143401542 239002570 286803084 358503855 478005140 717007710 1434015420