Search a number
-
+
1134347904 = 27324392243
BaseRepresentation
bin100001110011100…
…1100011010000000
32221001110211210100
41003213030122000
54310343113104
6304321002400
740052540514
oct10347143200
92831424710
101134347904
11532345408
12277a83400
131510189a1
14aa920144
15698bd139
hex439cc680

1134347904 has 96 divisors (see below), whose sum is σ = 3273098400. Its totient is φ = 377086464.

The previous prime is 1134347897. The next prime is 1134347911. The reversal of 1134347904 is 4097434311.

It is an interprime number because it is at equal distance from previous prime (1134347897) and next prime (1134347911).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504607 + ... + 506849.

It is an arithmetic number, because the mean of its divisors is an integer number (34094775).

Almost surely, 21134347904 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 1134347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636549200).

1134347904 is an abundant number, since it is smaller than the sum of its proper divisors (2138750496).

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

1134347904 is a wasteful number, since it uses less digits than its factorization.

1134347904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1134347904 is about 33680.0817101147. The cubic root of 1134347904 is about 1042.9146248525.

The spelling of 1134347904 in words is "one billion, one hundred thirty-four million, three hundred forty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 439 576 878 1152 1317 1756 2243 2634 3512 3951 4486 5268 6729 7024 7902 8972 10536 13458 14048 15804 17944 20187 21072 26916 28096 31608 35888 40374 42144 53832 56192 63216 71776 80748 84288 107664 126432 143552 161496 168576 215328 252864 287104 322992 430656 505728 645984 861312 984677 1291968 1969354 2583936 2954031 3938708 5908062 7877416 8862093 11816124 15754832 17724186 23632248 31509664 35448372 47264496 63019328 70896744 94528992 126038656 141793488 189057984 283586976 378115968 567173952 1134347904