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1342216400 = 245271373499
BaseRepresentation
bin101000000000000…
…1001100011010000
310110112121122202112
41100000021203100
510222101411100
6341104204452
745155436230
oct12000114320
93415548675
101342216400
11629712058
12315609728
131850c95b5
14ca38dcc0
157cc7db35
hex500098d0

1342216400 has 120 divisors (see below), whose sum is σ = 3713304000. Its totient is φ = 456698880.

The previous prime is 1342216397. The next prime is 1342216409. The reversal of 1342216400 is 46122431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342216409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381851 + ... + 385349.

It is an arithmetic number, because the mean of its divisors is an integer number (30944200).

Almost surely, 21342216400 is an apocalyptic number.

1342216400 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 1342216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856652000).

1342216400 is an abundant number, since it is smaller than the sum of its proper divisors (2371087600).

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

1342216400 is a wasteful number, since it uses less digits than its factorization.

1342216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1342216400 is about 36636.2716443691. The cubic root of 1342216400 is about 1103.0812781372.

Adding to 1342216400 its reverse (46122431), we get a palindrome (1388338831).

The spelling of 1342216400 in words is "one billion, three hundred forty-two million, two hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 137 140 175 200 274 280 350 400 548 560 685 700 959 1096 1370 1400 1918 2192 2740 2800 3425 3499 3836 4795 5480 6850 6998 7672 9590 10960 13700 13996 15344 17495 19180 23975 24493 27400 27992 34990 38360 47950 48986 54800 55984 69980 76720 87475 95900 97972 122465 139960 174950 191800 195944 244930 279920 349900 383600 391888 479363 489860 612325 699800 958726 979720 1224650 1399600 1917452 1959440 2396815 2449300 3355541 3834904 4793630 4898600 6711082 7669808 9587260 9797200 11984075 13422164 16777705 19174520 23968150 26844328 33555410 38349040 47936300 53688656 67110820 83888525 95872600 134221640 167777050 191745200 268443280 335554100 671108200 1342216400