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1400034000 = 243531912281
BaseRepresentation
bin101001101110010…
…1101001011010000
310121120102002121010
41103130231023100
510331402042000
6350531330520
746460043531
oct12334551320
93546362533
101400034000
116593122a2
12330a50a40
131940910b1
14d3d20688
1582d9ed50
hex5372d2d0

1400034000 has 160 divisors (see below), whose sum is σ = 4751660160. Its totient is φ = 353664000.

The previous prime is 1400033939. The next prime is 1400034007. The reversal of 1400034000 is 4300041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400034007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107860 + ... + 120140.

It is an arithmetic number, because the mean of its divisors is an integer number (29697876).

Almost surely, 21400034000 is an apocalyptic number.

1400034000 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 1400034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375830080).

1400034000 is an abundant number, since it is smaller than the sum of its proper divisors (3351626160).

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

1400034000 is a wasteful number, since it uses less digits than its factorization.

1400034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12326 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1400034000 is about 37417.0282090922. The cubic root of 1400034000 is about 1118.6979980614.

Adding to 1400034000 its reverse (4300041), we get a palindrome (1404334041).

The spelling of 1400034000 in words is "one billion, four hundred million, thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 12281 14250 19000 22800 24562 28500 36843 38000 49124 57000 61405 73686 98248 114000 122810 147372 184215 196496 233339 245620 294744 307025 368430 466678 491240 589488 614050 700017 736860 921075 933356 982480 1166695 1228100 1400034 1473720 1535125 1842150 1866712 2333390 2456200 2800068 2947440 3070250 3500085 3684300 3733424 4605375 4666780 4912400 5600136 5833475 6140500 7000170 7368600 9210750 9333560 11200272 11666950 12281000 14000340 14737200 17500425 18421500 18667120 23333900 24562000 28000680 29167375 35000850 36843000 46667800 56001360 58334750 70001700 73686000 87502125 93335600 116669500 140003400 175004250 233339000 280006800 350008500 466678000 700017000 1400034000