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1344361400 = 235247914033
BaseRepresentation
bin101000000100001…
…0101001110111000
310110200122122010222
41100020111032320
510223124031100
6341222155212
745212611664
oct12010251670
93420578128
101344361400
1162a947688
12316282b08
1318569aa25
14ca78b8a4
157d054485
hex502153b8

1344361400 has 48 divisors (see below), whose sum is σ = 3132388800. Its totient is φ = 536583680.

The previous prime is 1344361393. The next prime is 1344361427. The reversal of 1344361400 is 41634431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344361400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88784 + ... + 102816.

It is an arithmetic number, because the mean of its divisors is an integer number (65258100).

Almost surely, 21344361400 is an apocalyptic number.

1344361400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344361400 is an abundant number, since it is smaller than the sum of its proper divisors (1788027400).

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

1344361400 is a wasteful number, since it uses less digits than its factorization.

1344361400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14528 (or 14519 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1344361400 is about 36665.5342249366. The cubic root of 1344361400 is about 1103.6685778778.

Adding to 1344361400 its reverse (41634431), we get a palindrome (1385995831).

The spelling of 1344361400 in words is "one billion, three hundred forty-four million, three hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 479 958 1916 2395 3832 4790 9580 11975 14033 19160 23950 28066 47900 56132 70165 95800 112264 140330 280660 350825 561320 701650 1403300 2806600 6721807 13443614 26887228 33609035 53774456 67218070 134436140 168045175 268872280 336090350 672180700 1344361400