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1110631434 = 231119432479
BaseRepresentation
bin100001000110010…
…1110010000001010
32212101211220220120
41002030232100022
54233310201214
6302112404110
736344132343
oct10214562012
92771756816
101110631434
1151aa16920
1226bb46636
13149133a83
14a77090ca
1567785ea9
hex4232e40a

1110631434 has 96 divisors (see below), whose sum is σ = 2616883200. Its totient is φ = 310776480.

The previous prime is 1110631433. The next prime is 1110631469. The reversal of 1110631434 is 4341360111.

It is not an unprimeable number, because it can be changed into a prime (1110631433) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2318407 + ... + 2318885.

It is an arithmetic number, because the mean of its divisors is an integer number (27259200).

Almost surely, 21110631434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110631434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308441600).

1110631434 is an abundant number, since it is smaller than the sum of its proper divisors (1506251766).

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

1110631434 is a wasteful number, since it uses less digits than its factorization.

1110631434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1110631434 is about 33326.1373999448. The cubic root of 1110631434 is about 1035.5951003666.

Adding to 1110631434 its reverse (4341360111), we get a palindrome (5451991545).

The spelling of 1110631434 in words is "one billion, one hundred ten million, six hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 43 57 66 86 114 129 209 258 418 473 479 627 817 946 958 1254 1419 1437 1634 1849 2451 2838 2874 3698 4902 5269 5547 8987 9101 10538 11094 15807 17974 18202 20339 20597 26961 27303 31614 35131 40678 41194 53922 54606 61017 61791 70262 100111 105393 122034 123582 200222 210786 226567 300333 386441 391343 453134 600666 679701 772882 782686 885671 1159323 1174029 1359402 1771342 2318646 2348058 2657013 4304773 5314026 8609546 9742381 12914319 16827749 19484762 25828638 29227143 33655498 50483247 58454286 100966494 185105239 370210478 555315717 1110631434