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1430442450 = 233522322003
BaseRepresentation
bin101010101000010…
…1101000111010010
310200200122000011000
41111100231013102
510412143124300
6353535202430
750306363103
oct12520550722
93620560130
101430442450
116744a1648
1233b076416
1319a479c68
14d7d983aa
15858a9c00
hex5542d1d2

1430442450 has 144 divisors (see below), whose sum is σ = 4122548640. Its totient is φ = 364684320.

The previous prime is 1430442439. The next prime is 1430442451. The reversal of 1430442450 is 542440341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1430442451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 713149 + ... + 715151.

It is an arithmetic number, because the mean of its divisors is an integer number (28628810).

Almost surely, 21430442450 is an apocalyptic number.

1430442450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430442450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061274320).

1430442450 is an abundant number, since it is smaller than the sum of its proper divisors (2692106190).

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

1430442450 is a wasteful number, since it uses less digits than its factorization.

1430442450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1430442450 is about 37821.1904889309. The cubic root of 1430442450 is about 1126.7393538569.

Adding to 1430442450 its reverse (542440341), we get a palindrome (1972882791).

The spelling of 1430442450 in words is "one billion, four hundred thirty million, four hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 135 138 150 207 225 230 270 345 414 450 529 575 621 675 690 1035 1058 1150 1242 1350 1587 1725 2003 2070 2645 3105 3174 3450 4006 4761 5175 5290 6009 6210 7935 9522 10015 10350 12018 13225 14283 15525 15870 18027 20030 23805 26450 28566 30045 31050 36054 39675 46069 47610 50075 54081 60090 71415 79350 90135 92138 100150 108162 119025 138207 142830 150225 180270 230345 238050 270405 276414 300450 357075 414621 450675 460690 540810 691035 714150 829242 901350 1059587 1151725 1243863 1352025 1382070 2073105 2119174 2303450 2487726 2704050 3178761 3455175 4146210 5297935 6219315 6357522 6910350 9536283 10365525 10595870 12438630 15893805 19072566 20731050 26489675 28608849 31096575 31787610 47681415 52979350 57217698 62193150 79469025 95362830 143044245 158938050 238407075 286088490 476814150 715221225 1430442450