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1040034300 = 223525967877
BaseRepresentation
bin111101111111011…
…010100111111100
32200111000012211220
4331333122213330
54112222044200
6251111313340
734526100654
oct7577324774
92614005756
101040034300
11494088188
1225037b850
13137616516
149c1ad364
156148d4a0
hex3dfda9fc

1040034300 has 144 divisors (see below), whose sum is σ = 3109384320. Its totient is φ = 268266240.

The previous prime is 1040034287. The next prime is 1040034349. The reversal of 1040034300 is 34300401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1040034300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185462 + ... + 1186338.

Almost surely, 21040034300 is an apocalyptic number.

1040034300 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 1040034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554692160).

1040034300 is an abundant number, since it is smaller than the sum of its proper divisors (2069350020).

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

1040034300 is a wasteful number, since it uses less digits than its factorization.

1040034300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1040034300 is about 32249.5627877340. The cubic root of 1040034300 is about 1013.1705419566.

Adding to 1040034300 its reverse (34300401), we get a palindrome (1074334701).

The spelling of 1040034300 in words is "one billion, forty million, thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 67 75 100 118 134 150 177 201 236 268 295 300 335 354 402 590 670 708 804 877 885 1005 1180 1340 1475 1675 1754 1770 2010 2631 2950 3350 3508 3540 3953 4020 4385 4425 5025 5262 5900 6700 7906 8770 8850 10050 10524 11859 13155 15812 17540 17700 19765 20100 21925 23718 26310 39530 43850 47436 51743 52620 58759 59295 65775 79060 87700 98825 103486 117518 118590 131550 155229 176277 197650 206972 235036 237180 258715 263100 293795 296475 310458 352554 395300 517430 587590 592950 620916 705108 776145 881385 1034860 1175180 1185900 1293575 1468975 1552290 1762770 2587150 2937950 3104580 3466781 3525540 3880725 4406925 5174300 5875900 6933562 7761450 8813850 10400343 13867124 15522900 17333905 17627700 20800686 34667810 41601372 52001715 69335620 86669525 104003430 173339050 208006860 260008575 346678100 520017150 1040034300