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1074850304 = 29111391373
BaseRepresentation
bin100000000010000…
…1110101000000000
32202220112001102112
41000010032220000
54200130202204
6254353434452
735431035233
oct10004165000
92686461375
101074850304
115017a7a40
1225bb6ba28
131418b65c8
14a2a7341a
156456926e
hex4010ea00

1074850304 has 80 divisors (see below), whose sum is σ = 2361411360. Its totient is φ = 484700160.

The previous prime is 1074850297. The next prime is 1074850331. The reversal of 1074850304 is 4030584701.

It is a super-3 number, since 3×10748503043 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 782162 + ... + 783534.

It is an arithmetic number, because the mean of its divisors is an integer number (29517642).

Almost surely, 21074850304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074850304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180705680).

1074850304 is an abundant number, since it is smaller than the sum of its proper divisors (1286561056).

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

1074850304 is a wasteful number, since it uses less digits than its factorization.

1074850304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 1074850304 is about 32784.9096994334. The cubic root of 1074850304 is about 1024.3522551127.

The spelling of 1074850304 in words is "one billion, seventy-four million, eight hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 139 176 256 278 352 512 556 704 1112 1373 1408 1529 2224 2746 2816 3058 4448 5492 5632 6116 8896 10984 12232 15103 17792 21968 24464 30206 35584 43936 48928 60412 71168 87872 97856 120824 175744 190847 195712 241648 351488 381694 391424 483296 702976 763388 782848 966592 1526776 1933184 2099317 3053552 3866368 4198634 6107104 7732736 8397268 12214208 16794536 24428416 33589072 48856832 67178144 97713664 134356288 268712576 537425152 1074850304