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714400440 = 2335133712377
BaseRepresentation
bin101010100101001…
…110001010111000
31211210021022011120
4222211032022320
52430341303230
6154520025240
723463206055
oct5245161270
91753238146
10714400440
11337295696
1217b302220
13b5011b70
146ac4602c
1542ab9310
hex2a94e2b8

714400440 has 128 divisors (see below), whose sum is σ = 2370634560. Its totient is φ = 171085824.

The previous prime is 714400439. The next prime is 714400457. The reversal of 714400440 is 44004417.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 714400440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51532 + ... + 63908.

Almost surely, 2714400440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185317280).

714400440 is an abundant number, since it is smaller than the sum of its proper divisors (1656234120).

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

714400440 is a wasteful number, since it uses less digits than its factorization.

714400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12441 (or 12437 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 714400440 is about 26728.2704266475. The cubic root of 714400440 is about 893.9513909379.

Adding to 714400440 its reverse (44004417), we get a palindrome (758404857).

The spelling of 714400440 in words is "seven hundred fourteen million, four hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 37 39 40 52 60 65 74 78 104 111 120 130 148 156 185 195 222 260 296 312 370 390 444 481 520 555 740 780 888 962 1110 1443 1480 1560 1924 2220 2405 2886 3848 4440 4810 5772 7215 9620 11544 12377 14430 19240 24754 28860 37131 49508 57720 61885 74262 99016 123770 148524 160901 185655 247540 297048 321802 371310 457949 482703 495080 643604 742620 804505 915898 965406 1287208 1373847 1485240 1609010 1831796 1930812 2289745 2413515 2747694 3218020 3663592 3861624 4579490 4827030 5495388 5953337 6436040 6869235 9158980 9654060 10990776 11906674 13738470 17860011 18317960 19308120 23813348 27476940 29766685 35720022 47626696 54953880 59533370 71440044 89300055 119066740 142880088 178600110 238133480 357200220 714400440