Search a number
-
+
1097303964 = 2231723972411
BaseRepresentation
bin100000101100111…
…1000011110011100
32211110202211001120
41001121320132130
54221402211324
6300515010540
736122633631
oct10131703634
92743684046
101097303964
11513443789
12267599a50
131464487b3
14a5a3a188
1566502179
hex4167879c

1097303964 has 96 divisors (see below), whose sum is σ = 2859204096. Its totient is φ = 325754880.

The previous prime is 1097303959. The next prime is 1097303969. The reversal of 1097303964 is 4693037901.

It is an interprime number because it is at equal distance from previous prime (1097303959) and next prime (1097303969).

It is a super-2 number, since 2×10973039642 = 2408151978820226592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097303969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453919 + ... + 456329.

It is an arithmetic number, because the mean of its divisors is an integer number (29783376).

Almost surely, 21097303964 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 1097303964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429602048).

1097303964 is an abundant number, since it is smaller than the sum of its proper divisors (1761900132).

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

1097303964 is a wasteful number, since it uses less digits than its factorization.

1097303964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 1097303964 is about 33125.5786968318. The cubic root of 1097303964 is about 1031.4360726794.

The spelling of 1097303964 in words is "one billion, ninety-seven million, three hundred three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 97 102 138 194 204 276 291 388 391 582 782 1164 1173 1564 1649 2231 2346 2411 3298 4462 4692 4822 4947 6596 6693 7233 8924 9644 9894 13386 14466 19788 26772 28932 37927 40987 55453 75854 81974 110906 113781 122961 151708 163948 166359 221812 227562 233867 245922 332718 455124 467734 491844 665436 701601 935468 942701 1403202 1885402 2806404 2828103 3770804 3975739 5378941 5656206 7951478 10757882 11312412 11927217 15902956 16136823 21515764 23854434 32273646 47708868 64547292 91441997 182883994 274325991 365767988 548651982 1097303964