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1346420240 = 245112367379
BaseRepresentation
bin101000001000000…
…1011111000010000
310110211112020100022
41100100023320100
510224140421430
6341334243012
745236245304
oct12020137020
93424466308
101346420240
11631023500
12316ab6468
13185c3bb89
14cab65d04
157d30e4e5
hex5040be10

1346420240 has 120 divisors (see below), whose sum is σ = 3459361920. Its totient is φ = 486984960.

The previous prime is 1346420239. The next prime is 1346420291. The reversal of 1346420240 is 420246431.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3552371 + ... + 3552749.

It is an arithmetic number, because the mean of its divisors is an integer number (28828016).

Almost surely, 21346420240 is an apocalyptic number.

1346420240 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 1346420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729680960).

1346420240 is an abundant number, since it is smaller than the sum of its proper divisors (2112941680).

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

1346420240 is a wasteful number, since it uses less digits than its factorization.

1346420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1346420240 is about 36693.5994418645. The cubic root of 1346420240 is about 1104.2316997763.

Adding to 1346420240 its reverse (420246431), we get a palindrome (1766666671).

The spelling of 1346420240 in words is "one billion, three hundred forty-six million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 367 379 440 484 605 734 758 880 968 1210 1468 1516 1835 1895 1936 2420 2936 3032 3670 3790 4037 4169 4840 5872 6064 7340 7580 8074 8338 9680 14680 15160 16148 16676 20185 20845 29360 30320 32296 33352 40370 41690 44407 45859 64592 66704 80740 83380 88814 91718 139093 161480 166760 177628 183436 222035 229295 278186 322960 333520 355256 366872 444070 458590 556372 695465 710512 733744 888140 917180 1112744 1390930 1530023 1776280 1834360 2225488 2781860 3060046 3552560 3668720 5563720 6120092 7650115 11127440 12240184 15300230 16830253 24480368 30600460 33660506 61200920 67321012 84151265 122401840 134642024 168302530 269284048 336605060 673210120 1346420240