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1430749440 = 2833541399
BaseRepresentation
bin101010101000111…
…1000000100000000
310200201012121021000
41111101320010000
510412232440230
6353545532000
750312112111
oct12521700400
93621177230
101430749440
1167469125a
1233b1a4000
1319a556903
14d8038208
158591ab60
hex55478100

1430749440 has 144 divisors (see below), whose sum is σ = 5077296000. Its totient is φ = 381523968.

The previous prime is 1430749421. The next prime is 1430749451. The reversal of 1430749440 is 449470341.

1430749440 is a `hidden beast` number, since 143 + 0 + 74 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1430749395 and 1430749404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13861 + ... + 55259.

It is an arithmetic number, because the mean of its divisors is an integer number (35259000).

Almost surely, 21430749440 is an apocalyptic number.

1430749440 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 1430749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538648000).

1430749440 is an abundant number, since it is smaller than the sum of its proper divisors (3646546560).

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

1430749440 is an equidigital number, since it uses as much as digits as its factorization.

1430749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41429 (or 41409 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1430749440 is about 37825.2487103522. The cubic root of 1430749440 is about 1126.8199519899.

The spelling of 1430749440 in words is "one billion, four hundred thirty million, seven hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 41399 82798 124197 165596 206995 248394 331192 372591 413990 496788 620985 662384 745182 827980 993576 1117773 1241970 1324768 1490364 1655960 1862955 1987152 2235546 2483940 2649536 2980728 3311920 3725910 3974304 4471092 4967880 5299072 5588865 5961456 6623840 7451820 7948608 8942184 9935760 10598144 11177730 11922912 13247680 14903640 15897216 17884368 19871520 22355460 23845824 26495360 29807280 31794432 35768736 39743040 44710920 47691648 52990720 59614560 71537472 79486080 89421840 95383296 119229120 143074944 158972160 178843680 238458240 286149888 357687360 476916480 715374720 1430749440