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1030304400 = 243527271181
BaseRepresentation
bin111101011010010…
…011001010010000
32122210200212221020
4331122103022100
54102224220100
6250122555440
734350304626
oct7532231220
92583625836
101030304400
11489641a44
12249068b80
131355ba898
149ab99516
15606ba5a0
hex3d693290

1030304400 has 120 divisors (see below), whose sum is σ = 3307746624. Its totient is φ = 274137600.

The previous prime is 1030304399. The next prime is 1030304411. The reversal of 1030304400 is 44030301.

It is a tau number, because it is divible by the number of its divisors (120).

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 1030304400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871810 + ... + 872990.

Almost surely, 21030304400 is an apocalyptic number.

1030304400 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 1030304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653873312).

1030304400 is an abundant number, since it is smaller than the sum of its proper divisors (2277442224).

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

1030304400 is a wasteful number, since it uses less digits than its factorization.

1030304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1918 counting only the distinct ones).

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

The square root of 1030304400 is about 32098.3550980420. The cubic root of 1030304400 is about 1010.0011110010.

Adding to 1030304400 its reverse (44030301), we get a palindrome (1074334701).

The spelling of 1030304400 in words is "one billion, thirty million, three hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 727 1181 1200 1454 2181 2362 2908 3543 3635 4362 4724 5816 5905 7086 7270 8724 9448 10905 11632 11810 14172 14540 17448 17715 18175 18896 21810 23620 28344 29080 29525 34896 35430 36350 43620 47240 54525 56688 58160 59050 70860 72700 87240 88575 94480 109050 118100 141720 145400 174480 177150 218100 236200 283440 290800 354300 436200 472400 708600 858587 872400 1417200 1717174 2575761 3434348 4292935 5151522 6868696 8585870 10303044 12878805 13737392 17171740 20606088 21464675 25757610 34343480 41212176 42929350 51515220 64394025 68686960 85858700 103030440 128788050 171717400 206060880 257576100 343434800 515152200 1030304400