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1400341440 = 26354333923
BaseRepresentation
bin101001101110111…
…1000001111000000
310121120222201022210
41103131320033000
510331441411230
6350542102120
746462464051
oct12335701700
93546881283
101400341440
11659502283
12330b7a940
1319416b004
14d3da0728
1582e10eb0
hex537783c0

1400341440 has 112 divisors (see below), whose sum is σ = 4549615488. Its totient is φ = 364729344.

The previous prime is 1400341409. The next prime is 1400341441. The reversal of 1400341440 is 441430041.

It is a super-2 number, since 2×14003414402 = 3921912297162547200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400341441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24319 + ... + 58241.

Almost surely, 21400341440 is an apocalyptic number.

1400341440 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 1400341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274807744).

1400341440 is an abundant number, since it is smaller than the sum of its proper divisors (3149274048).

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

1400341440 is a wasteful number, since it uses less digits than its factorization.

1400341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33986 (or 33976 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1400341440 is about 37421.1362735019. The cubic root of 1400341440 is about 1118.7798787730.

Adding to 1400341440 its reverse (441430041), we get a palindrome (1841771481).

The spelling of 1400341440 in words is "one billion, four hundred million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1376 1720 2064 2580 2752 3440 4128 5160 6880 8256 10320 13760 20640 33923 41280 67846 101769 135692 169615 203538 271384 339230 407076 508845 542768 678460 814152 1017690 1085536 1356920 1458689 1628304 2035380 2171072 2713840 2917378 3256608 4070760 4376067 5427680 5834756 6513216 7293445 8141520 8752134 10855360 11669512 14586890 16283040 17504268 21880335 23339024 29173780 32566080 35008536 43760670 46678048 58347560 70017072 87521340 93356096 116695120 140034144 175042680 233390240 280068288 350085360 466780480 700170720 1400341440