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1402234400 = 255272411039
BaseRepresentation
bin101001110010100…
…0110011000100000
310121201112212222102
41103211012120200
510332433000100
6351050425532
746514536640
oct12345063040
93551485872
101402234400
1165a585506
123317322a8
131946817c8
14d4334520
1583186cd5
hex53946620

1402234400 has 144 divisors (see below), whose sum is σ = 3932248320. Its totient is φ = 478310400.

The previous prime is 1402234397. The next prime is 1402234403. The reversal of 1402234400 is 44322041.

It is an interprime number because it is at equal distance from previous prime (1402234397) and next prime (1402234403).

It is a super-2 number, since 2×14022344002 = 3932522625086720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1402234403) 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, 1349081 + ... + 1350119.

It is an arithmetic number, because the mean of its divisors is an integer number (27307280).

Almost surely, 21402234400 is an apocalyptic number.

1402234400 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 1402234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966124160).

1402234400 is an abundant number, since it is smaller than the sum of its proper divisors (2530013920).

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

1402234400 is a wasteful number, since it uses less digits than its factorization.

1402234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1402234400 is about 37446.4203896714. The cubic root of 1402234400 is about 1119.2837682632.

Adding to 1402234400 its reverse (44322041), we get a palindrome (1446556441).

The spelling of 1402234400 in words is "one billion, four hundred two million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 241 280 350 400 482 560 700 800 964 1039 1120 1205 1400 1687 1928 2078 2410 2800 3374 3856 4156 4820 5195 5600 6025 6748 7273 7712 8312 8435 9640 10390 12050 13496 14546 16624 16870 19280 20780 24100 25975 26992 29092 33248 33740 36365 38560 41560 42175 48200 51950 53984 58184 67480 72730 83120 84350 96400 103900 116368 134960 145460 166240 168700 181825 192800 207800 232736 250399 269920 290920 337400 363650 415600 500798 581840 674800 727300 831200 1001596 1163680 1251995 1349600 1454600 1752793 2003192 2503990 2909200 3505586 4006384 5007980 5818400 6259975 7011172 8012768 8763965 10015960 12519950 14022344 17527930 20031920 25039900 28044688 35055860 40063840 43819825 50079800 56089376 70111720 87639650 100159600 140223440 175279300 200319200 280446880 350558600 701117200 1402234400