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1084374816 = 25371613653
BaseRepresentation
bin100000010100010…
…0011111100100000
32210120102221121020
41000220203330200
54210044443231
6255333525440
735605014420
oct10050437440
92716387536
101084374816
11507112938
122631a3880
1314386c905
14a4032480
15652eb396
hex40a23f20

1084374816 has 48 divisors (see below), whose sum is σ = 3253126464. Its totient is φ = 309821184.

The previous prime is 1084374791. The next prime is 1084374829. The reversal of 1084374816 is 6184734801.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806155 + ... + 807498.

It is an arithmetic number, because the mean of its divisors is an integer number (67773468).

Almost surely, 21084374816 is an apocalyptic number.

1084374816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1084374816 is an abundant number, since it is smaller than the sum of its proper divisors (2168751648).

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

1084374816 is a wasteful number, since it uses less digits than its factorization.

1084374816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613673 (or 1613665 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1084374816 is about 32929.8468869808. The cubic root of 1084374816 is about 1027.3690405610.

The spelling of 1084374816 in words is "one billion, eighty-four million, three hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1613653 3227306 4840959 6454612 9681918 11295571 12909224 19363836 22591142 25818448 33886713 38727672 45182284 51636896 67773426 77455344 90364568 135546852 154910688 180729136 271093704 361458272 542187408 1084374816