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1290342416 = 241119337987
BaseRepresentation
bin100110011101001…
…0001000000010000
310022221000012000212
41030322101000100
510120311424131
6332012303252
743655505146
oct11472210020
93287005025
101290342416
116024013a0
12300171b28
1317743622c
14c3529596
1578433a2b
hex4ce91010

1290342416 has 40 divisors (see below), whose sum is σ = 2741517984. Its totient is φ = 583464960.

The previous prime is 1290342401. The next prime is 1290342457. The reversal of 1290342416 is 6142430921.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14975 + ... + 52961.

Almost surely, 21290342416 is an apocalyptic number.

1290342416 is a gapful number since it is divisible by the number (16) 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 1290342416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370758992).

1290342416 is an abundant number, since it is smaller than the sum of its proper divisors (1451175568).

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

1290342416 is a wasteful number, since it uses less digits than its factorization.

1290342416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38199 (or 38193 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 1290342416 is about 35921.3365007484. The cubic root of 1290342416 is about 1088.6835426804.

The spelling of 1290342416 in words is "one billion, two hundred ninety million, three hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 193 386 772 1544 2123 3088 4246 8492 16984 33968 37987 75974 151948 303896 417857 607792 835714 1671428 3342856 6685712 7331491 14662982 29325964 58651928 80646401 117303856 161292802 322585604 645171208 1290342416