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1400407344 = 243271578849
BaseRepresentation
bin101001101111000…
…1000010100110000
310121121010001201200
41103132020110300
510332001013334
6350543331200
746463160150
oct12336102460
93547101650
101400407344
11659547846
12330bb0b00
13194191ccb
14d3dba760
1582e25799
hex53788530

1400407344 has 120 divisors (see below), whose sum is σ = 4508119200. Its totient is φ = 397522944.

The previous prime is 1400407297. The next prime is 1400407363. The reversal of 1400407344 is 4437040041.

It is a super-2 number, since 2×14004073442 = 3922281458258268672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153832 + ... + 162680.

It is an arithmetic number, because the mean of its divisors is an integer number (37567660).

Almost surely, 21400407344 is an apocalyptic number.

1400407344 is a gapful number since it is divisible by the number (14) 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 1400407344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254059600).

1400407344 is an abundant number, since it is smaller than the sum of its proper divisors (3107711856).

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

1400407344 is a wasteful number, since it uses less digits than its factorization.

1400407344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9027 (or 9018 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1400407344 is about 37422.0168350130. The cubic root of 1400407344 is about 1118.7974294718.

Adding to 1400407344 its reverse (4437040041), we get a palindrome (5837447385).

The spelling of 1400407344 in words is "one billion, four hundred million, four hundred seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 157 168 252 314 336 471 504 628 942 1008 1099 1256 1413 1884 2198 2512 2826 3297 3768 4396 5652 6594 7536 8792 8849 9891 11304 13188 17584 17698 19782 22608 26376 26547 35396 39564 52752 53094 61943 70792 79128 79641 106188 123886 141584 158256 159282 185829 212376 247772 318564 371658 424752 495544 557487 637128 743316 991088 1114974 1274256 1389293 1486632 2229948 2778586 2973264 4167879 4459896 5557172 8335758 8919792 9725051 11114344 12503637 16671516 19450102 22228688 25007274 29175153 33343032 38900204 50014548 58350306 66686064 77800408 87525459 100029096 116700612 155600816 175050918 200058192 233401224 350101836 466802448 700203672 1400407344